Time bar (total: 3.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 75% | 0% | 0% | 25% | 0% | 3 |
| 40% | 25% | 37.5% | 0% | 0% | 37.5% | 0% | 4 |
| 66.7% | 37.5% | 18.7% | 0% | 0% | 43.7% | 0% | 5 |
| 82.4% | 43.7% | 9.4% | 0% | 0% | 46.9% | 0% | 6 |
| 90.9% | 46.9% | 4.7% | 0% | 0% | 48.4% | 0% | 7 |
| 95.4% | 48.4% | 2.3% | 0% | 0% | 49.2% | 0% | 8 |
| 97.7% | 49.2% | 1.2% | 0% | 0% | 49.6% | 0% | 9 |
| 98.8% | 49.6% | 0.6% | 0% | 0% | 49.8% | 0% | 10 |
| 99.4% | 49.8% | 0.3% | 0% | 0% | 49.9% | 0% | 11 |
| 99.7% | 49.9% | 0.1% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 1.2s | 8256× | body | 256 | valid |
| 2.0ms | 21× | body | 256 | invalid |
| 2× | egg-herbie |
| 396× | fma-neg_binary64 |
| 375× | fma-def_binary64 |
| 264× | div-sub_binary64 |
| 121× | times-frac_binary64 |
| 100× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 25 | 17 |
| 3 | 35 | 17 |
| 4 | 58 | 17 |
| 5 | 82 | 17 |
| 6 | 119 | 17 |
| 7 | 191 | 17 |
| 8 | 357 | 17 |
| 9 | 584 | 17 |
| 10 | 796 | 17 |
| 11 | 1157 | 17 |
| 12 | 1548 | 17 |
| 13 | 1958 | 17 |
| 14 | 2199 | 17 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 396× | fma-neg_binary64 |
| 375× | fma-def_binary64 |
| 264× | div-sub_binary64 |
| 121× | times-frac_binary64 |
| 100× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 25 | 17 |
| 3 | 35 | 17 |
| 4 | 58 | 17 |
| 5 | 82 | 17 |
| 6 | 119 | 17 |
| 7 | 191 | 17 |
| 8 | 357 | 17 |
| 9 | 584 | 17 |
| 10 | 796 | 17 |
| 11 | 1157 | 17 |
| 12 | 1548 | 17 |
| 13 | 1958 | 17 |
| 14 | 2199 | 17 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
Compiled 23 to 19 computations (17.4% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
Compiled 12 to 10 computations (16.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) |
| ✓ | 0.0b | (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) |
| ✓ | 0.0b | (/.f64 (-.f64 1 x) (-.f64 x -1)) |
Compiled 46 to 35 computations (23.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) |
| 1.0ms | x | @ | inf | (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) (-.f64 x -1)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) (-.f64 x -1)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 x) (-.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 434× | log-prod_binary64 |
| 332× | exp-prod_binary64 |
| 331× | prod-diff_binary64 |
| 259× | pow-prod-down_binary64 |
| 241× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 196 | 36 |
| 2 | 2644 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) (-.f64 x -1)) |
(sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1)))))) |
| 1× | egg-herbie |
| 552× | associate-/l/_binary64 |
| 528× | associate-*l/_binary64 |
| 394× | associate-*r/_binary64 |
| 271× | fma-def_binary64 |
| 265× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 626 |
| 1 | 244 | 602 |
| 2 | 760 | 510 |
| 3 | 3209 | 489 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -2 x)) |
(fma.f64 -2 x 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1)) |
(fma.f64 -2 x (fma.f64 2 (*.f64 x x) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1)) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (fma.f64 2 (*.f64 x x) 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 x) (+.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))) -1)) |
(+.f64 (+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) -1) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 x) (+.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))) -1)) |
(+.f64 (+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) -1) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (neg.f64 x))) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (*.f64 x x) 1/2 (neg.f64 x)))) |
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(fma.f64 x (*.f64 x (-.f64 1/2 (*.f64 x 1/2))) (-.f64 1 x)) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 -1/2 (/.f64 1/2 x)))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 -1/2 (/.f64 1/2 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
Compiled 6373 to 4839 computations (24.1% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 232 | 3 | 235 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 232 | 4 | 236 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) |
| ▶ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
| ▶ | 0.8b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
Compiled 47 to 40 computations (14.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (-.f64 1 x)) |
Compiled 17 to 13 computations (23.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (atan.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (atan.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | inf | (atan.f64 (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 508× | pow1_binary64 |
| 494× | add-sqr-sqrt_binary64 |
| 472× | add-log-exp_binary64 |
| 472× | log1p-expm1-u_binary64 |
| 472× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 102 | 6 |
| 2 | 1238 | 6 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 7× | sub-neg_binary64 |
| 6× | fma-def_binary64 |
| 4× | +-commutative_binary64 |
| 3× | associate-+l-_binary64 |
| 3× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 32 |
| 1 | 12 | 24 |
| 2 | 16 | 24 |
| 3 | 20 | 24 |
| 4 | 27 | 24 |
| 5 | 37 | 24 |
| 6 | 48 | 24 |
| 7 | 60 | 24 |
| 8 | 63 | 24 |
| 1× | saturated |
| Inputs |
|---|
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
| Outputs |
|---|
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
| ✓ | 0.0b | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| ✓ | 0.0b | (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| ✓ | 0.0b | (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
Compiled 59 to 46 computations (22% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 460× | log-prod_binary64 |
| 351× | exp-prod_binary64 |
| 279× | pow-prod-down_binary64 |
| 246× | pow2_binary64 |
| 186× | prod-diff_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 54 |
| 1 | 199 | 48 |
| 2 | 2714 | 48 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (-.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -1 x -1)) (sqrt.f64 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1)))))) |
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1)))))) |
| 1× | egg-herbie |
| 479× | fma-def_binary64 |
| 462× | fma-neg_binary64 |
| 447× | cancel-sign-sub-inv_binary64 |
| 304× | associate-/r*_binary64 |
| 259× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 941 |
| 1 | 315 | 859 |
| 2 | 1040 | 706 |
| 3 | 4391 | 668 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(sqrt.f64 -1) |
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(sqrt.f64 -1) |
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
| Outputs |
|---|
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 1 (fma.f64 x (*.f64 x 1/2) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(+.f64 1 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x (fma.f64 x x x)) x)) |
(*.f64 (+.f64 1 x) (fma.f64 x (*.f64 x 1/2) 1)) |
(sqrt.f64 -1) |
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1))) |
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1)))) |
(sqrt.f64 -1) |
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1))) |
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1)))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(+.f64 1 (*.f64 x (fma.f64 x 1/2 -1))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 x (*.f64 x 1/2))) x)) |
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/2))) (-.f64 1 x)) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(fma.f64 2 x 1) |
(fma.f64 x 2 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 x 2 1)) |
(fma.f64 2 (fma.f64 x x x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 x 2 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1)) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) 2)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 x) 2)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
| ✓ | 0.0b | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| ✓ | 0.0b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2) |
| ✓ | 0.0b | (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
Compiled 60 to 47 computations (21.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2) |
| 2.0ms | x | @ | inf | (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2) |
| 1× | batch-egg-rewrite |
| 471× | log-prod_binary64 |
| 363× | exp-prod_binary64 |
| 311× | prod-diff_binary64 |
| 266× | pow-prod-down_binary64 |
| 266× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 54 |
| 1 | 220 | 48 |
| 2 | 2909 | 48 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (-.f64 1 x))) (cbrt.f64 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2)) (cbrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) (sqrt.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1)))))) |
| 1× | egg-herbie |
| 801× | fma-def_binary64 |
| 583× | associate-*l*_binary64 |
| 530× | associate-*r*_binary64 |
| 425× | associate-/r*_binary64 |
| 306× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 1500 |
| 1 | 514 | 1415 |
| 2 | 1812 | 1311 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -2/3 x)) |
(+.f64 1 (+.f64 (*.f64 -2/3 x) (*.f64 2/9 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -2/3 x) (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 -22/81 (pow.f64 x 3))))) |
(cbrt.f64 -1) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 -1)) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (-.f64 2 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))) |
(cbrt.f64 -1) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 -1)) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) 2)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x)) (/.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/4 (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 1/2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)))) (pow.f64 x 2)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (+.f64 (*.f64 1/4 (-.f64 (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 -2 (-.f64 2 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/6 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (sqrt.f64 -1)) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x)) (/.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/4 (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 1/2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)))) (pow.f64 x 2))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x)) (/.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/4 (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 1/2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)))) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) (-.f64 (+.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) 2))) (+.f64 (*.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (*.f64 -3/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (*.f64 1/6 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x)) (/.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/4 (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 1/2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)))) (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/3) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/3) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/3) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/3) 3/2)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -2/3 x)) |
(fma.f64 -2/3 x 1) |
(+.f64 1 (+.f64 (*.f64 -2/3 x) (*.f64 2/9 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 -2/3 x (*.f64 2/9 (*.f64 x x)))) |
(+.f64 (fma.f64 -2/3 x 1) (*.f64 x (*.f64 x 2/9))) |
(fma.f64 -2/3 x (fma.f64 2/9 (*.f64 x x) 1)) |
(+.f64 1 (+.f64 (*.f64 -2/3 x) (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 -22/81 (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 -2/3 x (fma.f64 2/9 (*.f64 x x) (*.f64 -22/81 (pow.f64 x 3))))) |
(+.f64 (fma.f64 -2/3 x 1) (fma.f64 2/9 (*.f64 x x) (*.f64 -22/81 (pow.f64 x 3)))) |
(+.f64 (fma.f64 -2/3 x 1) (*.f64 (*.f64 x x) (+.f64 2/9 (*.f64 x -22/81)))) |
(cbrt.f64 -1) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 -1)) |
(fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1)) |
(fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1)) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))) |
(+.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1)) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))) |
(fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (fma.f64 -1/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (-.f64 2 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))) |
(+.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1)) (fma.f64 1/3 (/.f64 (-.f64 2 (fma.f64 -4/3 (*.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))))) |
(+.f64 (fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1)) (fma.f64 1/3 (/.f64 (-.f64 2 (fma.f64 -4/3 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))))) |
(+.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (*.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 x x)) (/.f64 (-.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/3 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2)) (pow.f64 x 3)))))) |
(cbrt.f64 -1) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 -1)) |
(fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1)) |
(fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1)) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))) |
(+.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1)) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))) |
(fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (fma.f64 -1/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) 2)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))) |
(+.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1)) (fma.f64 1/3 (/.f64 (-.f64 2 (fma.f64 -4/3 (*.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))))) |
(+.f64 (fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1)) (fma.f64 1/3 (/.f64 (-.f64 2 (fma.f64 -4/3 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))))) |
(+.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (*.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 x x)) (/.f64 (-.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/3 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2)) (pow.f64 x 3)))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (neg.f64 x))) |
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) |
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (*.f64 x x) 1/2 (neg.f64 x)))) |
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6))) |
(+.f64 (sqrt.f64 -1) (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) x)) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x)) (/.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/4 (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 1/2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)))) (pow.f64 x 2)))) |
(+.f64 (sqrt.f64 -1) (fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x) (/.f64 (sqrt.f64 -1) (/.f64 (*.f64 x x) (fma.f64 3/4 (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 4/3 (*.f64 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 2/3))) (*.f64 1/2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))))))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) x) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 1/2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) 1/2)))) (sqrt.f64 -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) x) (fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (+.f64 1 (*.f64 2/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) 1/6)) (sqrt.f64 -1))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (+.f64 (*.f64 1/4 (-.f64 (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 -2 (-.f64 2 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/6 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (sqrt.f64 -1)) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x)) (/.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/4 (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 1/2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)))) (pow.f64 x 2))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x) (/.f64 (sqrt.f64 -1) (/.f64 (*.f64 x x) (fma.f64 3/4 (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 4/3 (*.f64 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 2/3))) (*.f64 1/2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))))))) (/.f64 (fma.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 4/3 (*.f64 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 2/3)))) (fma.f64 1/4 (-.f64 (fma.f64 4/3 (*.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)))) (*.f64 (-.f64 2 (fma.f64 -4/3 (*.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)))) -2)) (/.f64 16/27 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1/6 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) x) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 1/2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) 1/2)))) (sqrt.f64 -1))) (/.f64 (fma.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 4/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 8/9)))) (fma.f64 1/4 (fma.f64 4/3 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)))) (fma.f64 (-.f64 2 (fma.f64 -4/3 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)))) -2 (/.f64 -16/27 (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 1/6 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) x) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (+.f64 (+.f64 1 (*.f64 2/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) 1/6)) (/.f64 (fma.f64 1/4 (fma.f64 4/3 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)))) (fma.f64 (+.f64 (fma.f64 4/3 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2) (/.f64 -8/27 (pow.f64 (cbrt.f64 -1) 2))) -2 (/.f64 -16/27 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (fma.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 1 (*.f64 2/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (/.f64 1/6 (pow.f64 (cbrt.f64 -1) 5)))) x))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x))) |
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6))) |
(+.f64 (sqrt.f64 -1) (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) x)) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x)) (/.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/4 (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 1/2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)))) (pow.f64 x 2)))) |
(+.f64 (sqrt.f64 -1) (fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x) (/.f64 (sqrt.f64 -1) (/.f64 (*.f64 x x) (fma.f64 3/4 (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 4/3 (*.f64 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 2/3))) (*.f64 1/2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))))))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) x) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 1/2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) 1/2)))) (sqrt.f64 -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) x) (fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (+.f64 1 (*.f64 2/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) 1/6)) (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) (-.f64 (+.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) 2))) (+.f64 (*.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (*.f64 -3/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (*.f64 1/6 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x)) (/.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/4 (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2/3 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 1/2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)))) (pow.f64 x 2))))) |
(fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) (-.f64 (fma.f64 1/4 (fma.f64 -2 (-.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/3 (*.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2)) (+.f64 (/.f64 16/27 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (*.f64 -4/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)))) (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 4/3 (*.f64 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 2/3)))) -3/4)) (/.f64 1/6 (pow.f64 (cbrt.f64 -1) 5)))) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) (/.f64 1 x) (/.f64 (sqrt.f64 -1) (/.f64 (*.f64 x x) (fma.f64 3/4 (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 4/3 (*.f64 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 2/3))) (*.f64 1/2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))))))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) x) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 1/2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) 1/2)))) (sqrt.f64 -1))) (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/4 (fma.f64 (+.f64 (fma.f64 -4/3 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2))) -2) -2 (fma.f64 -4/3 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)))) (/.f64 16/27 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) -3/4) (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 4/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 8/9))) (/.f64 -1/6 (pow.f64 (cbrt.f64 -1) 5)))))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (+.f64 1 (*.f64 2/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) 1/6)) (sqrt.f64 -1)) (-.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/6) x) (*.f64 (fma.f64 1/4 (fma.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 -4/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)))) (fma.f64 (-.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/3 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2)) -2 (/.f64 16/27 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 8/9 4/3)) -3/4) (/.f64 -1/6 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 1 (*.f64 x -2)) |
(fma.f64 x -2 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 x -2))) |
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1)) |
(fma.f64 x -2 (fma.f64 x (*.f64 x 2) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1)) |
(fma.f64 x (*.f64 x 2) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 -2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 -2 (*.f64 x x)))) (/.f64 2 (pow.f64 x 3))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 -2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 2 x) (+.f64 -1 (/.f64 -2 (*.f64 x x)))) (/.f64 2 (pow.f64 x 3))) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/3) 3/2)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/3) 3/2)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/3) 3/2)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/3) 3/2)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/3) 3/2)) |
(atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)) |
Compiled 12641 to 9831 computations (22.2% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 535 | 2 | 537 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 535 | 6 | 541 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.7b | (*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2))) |
| ▶ | 0.8b | (*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
| ✓ | 0.8b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
Compiled 67 to 58 computations (13.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (/.f64 1 (+.f64 1 x))) |
| ✓ | 0.0b | (/.f64 1 (+.f64 1 x)) |
Compiled 26 to 21 computations (19.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 1 (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 1 x)) |
| 0.0ms | x | @ | -inf | (atan.f64 (/.f64 1 (+.f64 1 x))) |
| 0.0ms | x | @ | 0 | (atan.f64 (/.f64 1 (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 616× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 560× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 127 | 16 |
| 2 | 1604 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 x)) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 1 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))))) |
| 1× | egg-herbie |
| 601× | times-frac_binary64 |
| 554× | div-sub_binary64 |
| 326× | associate-/l/_binary64 |
| 323× | fma-def_binary64 |
| 257× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 220 |
| 1 | 73 | 207 |
| 2 | 186 | 203 |
| 3 | 635 | 201 |
| 4 | 2712 | 200 |
| 5 | 7375 | 200 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(+.f64 1 (-.f64 (*.f64 x x) x)) |
(fma.f64 x x (-.f64 1 x)) |
(-.f64 (fma.f64 x x 1) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x)))) |
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3)) |
(-.f64 (fma.f64 x x (-.f64 1 x)) (pow.f64 x 3)) |
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1) |
(*.f64 (-.f64 1 x) (fma.f64 x x 1)) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2)) |
| ✓ | 0.0b | (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2) |
| ✓ | 0.4b | (*.f64 -2/3 x) |
Compiled 39 to 33 computations (15.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2) |
| 1.0ms | x | @ | -inf | (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2) |
| 0.0ms | x | @ | 0 | (*.f64 -2/3 x) |
| 0.0ms | x | @ | -inf | (*.f64 -2/3 x) |
| 0.0ms | x | @ | 0 | (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2) |
| 1× | batch-egg-rewrite |
| 835× | pow1_binary64 |
| 784× | add-log-exp_binary64 |
| 783× | log1p-expm1-u_binary64 |
| 783× | expm1-log1p-u_binary64 |
| 769× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 189 | 22 |
| 2 | 2187 | 22 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2/3 x) |
(pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2) |
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -2/3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (fma.f64 -2/3 x 1) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 -2/3 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2/3 x 1) (cbrt.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2)) (fma.f64 -2/3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/4) (pow.f64 (fma.f64 -2/3 x 1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (fma.f64 -2/3 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2/3 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (fma.f64 -2/3 x 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -2/3 x 1)) 3/2) (pow.f64 (sqrt.f64 (fma.f64 -2/3 x 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2/3 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log1p.f64 (*.f64 -2/3 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2))) (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2))) 2) (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2))) (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (pow.f64 (fma.f64 -2/3 x 1) 3/2)))))))) |
| 1× | egg-herbie |
| 637× | times-frac_binary64 |
| 630× | fma-def_binary64 |
| 483× | unswap-sqr_binary64 |
| 466× | associate-/l*_binary64 |
| 315× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 499 |
| 1 | 175 | 434 |
| 2 | 446 | 312 |
| 3 | 1406 | 241 |
| 4 | 6411 | 235 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 -1 x))) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/54 (pow.f64 x 3))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) |
(+.f64 (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) x)) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3))))) |
(+.f64 (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) x)) (+.f64 (*.f64 27/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) (pow.f64 x 2))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))))) |
(+.f64 (*.f64 27/128 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) (pow.f64 x 3))) (+.f64 (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) x)) (+.f64 (*.f64 27/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) (pow.f64 x 2))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3))))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) |
(+.f64 (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) x)) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3))))) |
(+.f64 (*.f64 27/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) (pow.f64 x 2))) (+.f64 (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) x)) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))))) |
(+.f64 (*.f64 27/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) (pow.f64 x 2))) (+.f64 (*.f64 27/128 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) (pow.f64 x 3))) (+.f64 (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) x)) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3))))))) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 2/3 x)) 3/2)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 2/3 x)) 3/2)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 2/3 x)) 3/2)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 2/3 x)) 3/2)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 -1 x))) |
(fma.f64 1/6 (*.f64 x x) (+.f64 1 (neg.f64 x))) |
(fma.f64 1/6 (*.f64 x x) (-.f64 1 x)) |
(fma.f64 x (*.f64 x 1/6) (-.f64 1 x)) |
(fma.f64 x (fma.f64 x 1/6 -1) 1) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/54 (pow.f64 x 3))))) |
(fma.f64 1/6 (*.f64 x x) (+.f64 1 (fma.f64 -1 x (*.f64 1/54 (pow.f64 x 3))))) |
(+.f64 (fma.f64 1/6 (*.f64 x x) (-.f64 1 x)) (*.f64 1/54 (pow.f64 x 3))) |
(fma.f64 x (*.f64 x 1/6) (-.f64 (fma.f64 1/54 (pow.f64 x 3) 1) x)) |
(fma.f64 x (*.f64 x (fma.f64 x 1/54 1/6)) (-.f64 1 x)) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) |
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) |
(*.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2)) |
(pow.f64 (*.f64 x -2/3) 3/2) |
(+.f64 (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) x)) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3))))) |
(fma.f64 -9/4 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) x) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3)))) |
(fma.f64 -9/4 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) x) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3)))) |
(fma.f64 -9/4 (/.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2)) x) (*.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2))) |
(*.f64 (+.f64 (/.f64 -9/4 x) 1) (pow.f64 (*.f64 x -2/3) 3/2)) |
(+.f64 (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) x)) (+.f64 (*.f64 27/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) (pow.f64 x 2))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))))) |
(fma.f64 -9/4 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) x) (fma.f64 27/32 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) (*.f64 x x)) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))))) |
(fma.f64 -9/4 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) x) (fma.f64 27/32 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) (*.f64 x x)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))))) |
(fma.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2) (*.f64 (/.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2)) x) (+.f64 -9/4 (/.f64 27/32 x)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 x -2/3) 3/2) x) (+.f64 -9/4 (/.f64 27/32 x)) (pow.f64 (*.f64 x -2/3) 3/2)) |
(+.f64 (*.f64 27/128 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) (pow.f64 x 3))) (+.f64 (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) x)) (+.f64 (*.f64 27/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3)))) (pow.f64 x 2))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2/3))))))) |
(fma.f64 27/128 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) (pow.f64 x 3)) (fma.f64 -9/4 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) x) (fma.f64 27/32 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) (*.f64 x x)) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3)))))) |
(fma.f64 27/128 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) (pow.f64 x 3)) (fma.f64 -9/4 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) x) (fma.f64 27/32 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) (*.f64 x x)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3)))))) |
(fma.f64 27/128 (/.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2)) (pow.f64 x 3)) (fma.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2) (*.f64 (/.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2)) x) (+.f64 -9/4 (/.f64 27/32 x))))) |
(+.f64 (pow.f64 (*.f64 x -2/3) 3/2) (*.f64 (/.f64 (pow.f64 (*.f64 x -2/3) 3/2) x) (+.f64 (/.f64 27/32 x) (+.f64 -9/4 (/.f64 27/128 (*.f64 x x)))))) |
(fma.f64 (/.f64 (pow.f64 -2/3 3/2) (sqrt.f64 x)) (+.f64 27/32 (/.f64 27/128 x)) (*.f64 (+.f64 (/.f64 -9/4 x) 1) (pow.f64 (*.f64 x -2/3) 3/2))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) |
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) |
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) |
(*.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2)) |
(pow.f64 (*.f64 x -2/3) 3/2) |
(+.f64 (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) x)) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3))))) |
(fma.f64 -9/4 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) x) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3)))) |
(fma.f64 -9/4 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) x) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3)))) |
(fma.f64 -9/4 (/.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2)) x) (*.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2))) |
(*.f64 (+.f64 (/.f64 -9/4 x) 1) (pow.f64 (*.f64 x -2/3) 3/2)) |
(+.f64 (*.f64 27/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) (pow.f64 x 2))) (+.f64 (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) x)) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))))) |
(fma.f64 -9/4 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) x) (fma.f64 27/32 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) (*.f64 x x)) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))))) |
(fma.f64 -9/4 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) x) (fma.f64 27/32 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) (*.f64 x x)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))))) |
(fma.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2) (*.f64 (/.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2)) x) (+.f64 -9/4 (/.f64 27/32 x)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 x -2/3) 3/2) x) (+.f64 -9/4 (/.f64 27/32 x)) (pow.f64 (*.f64 x -2/3) 3/2)) |
(+.f64 (*.f64 27/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) (pow.f64 x 2))) (+.f64 (*.f64 27/128 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) (pow.f64 x 3))) (+.f64 (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3)))) x)) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2/3))))))) |
(fma.f64 27/128 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) (pow.f64 x 3)) (fma.f64 -9/4 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) x) (fma.f64 27/32 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3))) (*.f64 x x)) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2/3)))))) |
(fma.f64 27/128 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) (pow.f64 x 3)) (fma.f64 -9/4 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) x) (fma.f64 27/32 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3))) (*.f64 x x)) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 x) (log.f64 -2/3)))))) |
(fma.f64 27/128 (/.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2)) (pow.f64 x 3)) (fma.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2) (*.f64 (/.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 -2/3 3/2)) x) (+.f64 -9/4 (/.f64 27/32 x))))) |
(+.f64 (pow.f64 (*.f64 x -2/3) 3/2) (*.f64 (/.f64 (pow.f64 (*.f64 x -2/3) 3/2) x) (+.f64 (/.f64 27/32 x) (+.f64 -9/4 (/.f64 27/128 (*.f64 x x)))))) |
(fma.f64 (/.f64 (pow.f64 -2/3 3/2) (sqrt.f64 x)) (+.f64 27/32 (/.f64 27/128 x)) (*.f64 (+.f64 (/.f64 -9/4 x) 1) (pow.f64 (*.f64 x -2/3) 3/2))) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 2/3 x)) 3/2)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 x 2/3)) 3/2)) |
(atan.f64 (pow.f64 (fma.f64 x -2/3 1) 3/2)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 2/3 x)) 3/2)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 x 2/3)) 3/2)) |
(atan.f64 (pow.f64 (fma.f64 x -2/3 1) 3/2)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 2/3 x)) 3/2)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 x 2/3)) 3/2)) |
(atan.f64 (pow.f64 (fma.f64 x -2/3 1) 3/2)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 2/3 x)) 3/2)) |
(atan.f64 (pow.f64 (-.f64 1 (*.f64 x 2/3)) 3/2)) |
(atan.f64 (pow.f64 (fma.f64 x -2/3 1) 3/2)) |
Compiled 1705 to 1505 computations (11.7% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 4 | 117 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 113 | 10 | 123 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.8b | (*.f64 2 (atan.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1))) |
| ▶ | 1.5b | (*.f64 2 (atan.f64 1)) |
| ✓ | 0.7b | (*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2))) |
| ▶ | 0.8b | (*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2))) |
| ✓ | 0.8b | (*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
| ▶ | 0.8b | (*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
| ✓ | 0.8b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
Compiled 110 to 94 computations (14.5% saved)
Compiled 9 to 9 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) |
| ✓ | 0.0b | (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
Compiled 59 to 37 computations (37.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) |
| 0.0ms | x | @ | inf | (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 453× | log-prod_binary64 |
| 346× | exp-prod_binary64 |
| 331× | prod-diff_binary64 |
| 295× | pow-prod-down_binary64 |
| 250× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 199 | 16 |
| 2 | 2695 | 16 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
(atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (-.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) 1) (*.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) -1) (*.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) -1) (*.f64 (+.f64 1 (fma.f64 x x x)) (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) 1) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 x)) (neg.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 (*.f64 x x)))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) -1) (neg.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (neg.f64 (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (neg.f64 (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1) 1)))))) |
| 1× | egg-herbie |
| 732× | fma-def_binary64 |
| 465× | cancel-sign-sub-inv_binary64 |
| 463× | fma-neg_binary64 |
| 400× | difference-of-squares_binary64 |
| 359× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 352 |
| 1 | 77 | 351 |
| 2 | 189 | 347 |
| 3 | 559 | 345 |
| 4 | 1964 | 344 |
| 5 | 6742 | 344 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (-.f64 1 x) (*.f64 x x)) |
(+.f64 1 (-.f64 (*.f64 x x) x)) |
(-.f64 (fma.f64 x x 1) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (-.f64 1 x) (*.f64 x x))) |
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3)) |
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3)) |
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1) |
(*.f64 (fma.f64 x x 1) (-.f64 1 x)) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) |
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (pow.f64 x 2)))) |
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)) |
| ✓ | 0.0b | (+.f64 1 (/.f64 1 (+.f64 1 x))) |
| ✓ | 0.0b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1) |
| 0.0b | (/.f64 1 (+.f64 1 x)) |
Compiled 50 to 43 computations (14% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+.f64 1 (/.f64 1 (+.f64 1 x))) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1) |
| 0.0ms | x | @ | inf | (+.f64 1 (/.f64 1 (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 950× | pow1_binary64 |
| 889× | add-log-exp_binary64 |
| 889× | log1p-expm1-u_binary64 |
| 889× | expm1-log1p-u_binary64 |
| 98× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 38 |
| 1 | 186 | 26 |
| 2 | 2723 | 26 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1) |
(+.f64 1 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (neg.f64 (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (neg.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) -1) (+.f64 (/.f64 1 (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (neg.f64 (log1p.f64 x))) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (neg.f64 (log1p.f64 x))) (expm1.f64 (neg.f64 (log1p.f64 x)))) (expm1.f64 (neg.f64 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (expm1.f64 (neg.f64 (log1p.f64 x))) (expm1.f64 (neg.f64 (log1p.f64 x))))) (-.f64 1 (expm1.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 1 x)))) (/.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1 x) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 1 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 1 (+.f64 1 x))) (-.f64 1 (pow.f64 (+.f64 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 x) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 x) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1 x) -2)) (-.f64 1 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) -2))) (neg.f64 (-.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) 1) (expm1.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) -2)) 1) (-.f64 1 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))))) |
| 1× | egg-herbie |
| 601× | times-frac_binary64 |
| 519× | fma-def_binary64 |
| 338× | associate-/l/_binary64 |
| 289× | fma-neg_binary64 |
| 268× | sub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 418 |
| 1 | 100 | 408 |
| 2 | 255 | 400 |
| 3 | 859 | 396 |
| 4 | 3418 | 395 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(+.f64 1 (-.f64 (*.f64 x x) x)) |
(-.f64 (fma.f64 x x 1) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x)))) |
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3)) |
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3)) |
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1) |
(*.f64 (-.f64 1 x) (fma.f64 x x 1)) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 (neg.f64 x) 2) |
(-.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 2 (fma.f64 -1 x (*.f64 x x))) |
(+.f64 (*.f64 x x) (-.f64 2 x)) |
(fma.f64 x x (-.f64 2 x)) |
(-.f64 (fma.f64 x x 2) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 2 (fma.f64 -1 x (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 x x) (-.f64 2 x)) (pow.f64 x 3)) |
(-.f64 (fma.f64 x x (-.f64 2 x)) (pow.f64 x 3)) |
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 2) |
1 |
(+.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (*.f64 x x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 1 (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (/.f64 -1 (*.f64 x x))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 1 (/.f64 1 (*.f64 x x))))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (*.f64 x x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 1 (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (/.f64 -1 (*.f64 x x))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 1 (/.f64 1 (*.f64 x x))))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))) |
(atan.f64 (/.f64 1 (+.f64 1 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (-.f64 (fma.f64 x x 1) x)) |
| ✓ | 0.0b | (-.f64 (fma.f64 x x 1) x) |
Compiled 30 to 18 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (fma.f64 x x 1) x) |
| 0.0ms | x | @ | -inf | (-.f64 (fma.f64 x x 1) x) |
| 0.0ms | x | @ | 0 | (-.f64 (fma.f64 x x 1) x) |
| 0.0ms | x | @ | -inf | (atan.f64 (-.f64 (fma.f64 x x 1) x)) |
| 0.0ms | x | @ | inf | (atan.f64 (-.f64 (fma.f64 x x 1) x)) |
| 1× | batch-egg-rewrite |
| 652× | pow1_binary64 |
| 605× | add-log-exp_binary64 |
| 605× | log1p-expm1-u_binary64 |
| 605× | expm1-log1p-u_binary64 |
| 592× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 123 | 18 |
| 2 | 1598 | 18 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (fma.f64 x x 1) x) |
(atan.f64 (-.f64 (fma.f64 x x 1) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x x 1) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x x 1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x x 1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x (+.f64 x (fma.f64 x x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x (+.f64 x (fma.f64 x x 1)))) (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 x x 1)) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x (+.f64 x (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x (+.f64 x (fma.f64 x x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x x 1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x x 1)) (sqrt.f64 (fma.f64 x x 1)) (neg.f64 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 2) (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)))))))) |
| 1× | egg-herbie |
| 553× | associate-*l*_binary64 |
| 463× | distribute-rgt-neg-in_binary64 |
| 452× | associate-*r*_binary64 |
| 434× | unswap-sqr_binary64 |
| 369× | distribute-lft-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 141 |
| 1 | 30 | 115 |
| 2 | 54 | 115 |
| 3 | 106 | 115 |
| 4 | 274 | 115 |
| 5 | 872 | 115 |
| 6 | 4128 | 115 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 x) (pow.f64 x 2)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 x) (pow.f64 x 2)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1))) |
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1))) |
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1))) |
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(-.f64 (fma.f64 x x 1) x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(-.f64 (fma.f64 x x 1) x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 2)) |
(fma.f64 -1 x (*.f64 x x)) |
(*.f64 x (+.f64 -1 x)) |
(-.f64 (*.f64 x x) x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(-.f64 (fma.f64 x x 1) x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(-.f64 (fma.f64 x x 1) x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 2)) |
(fma.f64 -1 x (*.f64 x x)) |
(*.f64 x (+.f64 -1 x)) |
(-.f64 (*.f64 x x) x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(-.f64 (fma.f64 x x 1) x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(-.f64 (fma.f64 x x 1) x) |
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1))) |
(atan.f64 (fma.f64 -1 x (fma.f64 x x 1))) |
(atan.f64 (-.f64 (fma.f64 x x 1) x)) |
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1))) |
(atan.f64 (fma.f64 -1 x (fma.f64 x x 1))) |
(atan.f64 (-.f64 (fma.f64 x x 1) x)) |
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1))) |
(atan.f64 (fma.f64 -1 x (fma.f64 x x 1))) |
(atan.f64 (-.f64 (fma.f64 x x 1) x)) |
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1))) |
(atan.f64 (fma.f64 -1 x (fma.f64 x x 1))) |
(atan.f64 (-.f64 (fma.f64 x x 1) x)) |
Compiled 5636 to 4464 computations (20.8% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 2 | 352 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 7 | 9 |
| Total | 353 | 9 | 362 |
| Status | Error | Program |
|---|---|---|
| 0.8b | (*.f64 2 (atan.f64 (-.f64 (-.f64 2 x) 1))) | |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2))) |
| ✓ | 0.7b | (*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2))) |
| 0.8b | (*.f64 2 (atan.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) | |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) |
| ✓ | 1.5b | (*.f64 2 (atan.f64 1)) |
| ✓ | 0.8b | (*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
| ✓ | 0.8b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
Compiled 92 to 79 computations (14.1% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 x) 1))) |
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
(*.f64 2 (atan.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1))) |
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) |
(*.f64 2 (atan.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
9 calls:
| 7.0ms | x |
| 4.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 3.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 3.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 3.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.0b | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.0b | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0.0b | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0.0b | 1 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0b | 1 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0b | 1 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 0.0b | 1 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 210 to 170 computations (19% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 x) 1))) |
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
(*.f64 2 (atan.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1))) |
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2))) |
1 calls:
| 59.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | x |
Compiled 84 to 68 computations (19% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 x) 1))) |
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
(*.f64 2 (atan.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1))) |
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 1 | x |
Compiled 74 to 59 computations (20.3% saved)
Total -0.7b remaining (-96.1%)
Threshold costs -0.7b (-96.1%)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 x) 1))) |
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x)))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (-.f64 1 x))) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 1 | x |
Compiled 29 to 25 computations (13.8% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 5× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 62 |
| 1 | 40 | 62 |
| 2 | 44 | 62 |
| 3 | 46 | 62 |
| 4 | 47 | 62 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2))) |
(*.f64 2 (atan.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 -2/3 x)) 3/2))) |
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 x -2/3)) 3/2))) |
(*.f64 2 (atan.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
Compiled 46 to 39 computations (15.2% saved)
| 1× | egg-herbie |
| 396× | fma-neg_binary64 |
| 375× | fma-def_binary64 |
| 264× | div-sub_binary64 |
| 121× | times-frac_binary64 |
| 100× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 25 | 17 |
| 3 | 35 | 17 |
| 4 | 58 | 17 |
| 5 | 82 | 17 |
| 6 | 119 | 17 |
| 7 | 191 | 17 |
| 8 | 357 | 17 |
| 9 | 584 | 17 |
| 10 | 796 | 17 |
| 11 | 1157 | 17 |
| 12 | 1548 | 17 |
| 13 | 1958 | 17 |
| 14 | 2199 | 17 |
| 1× | saturated |
Compiled 49 to 41 computations (16.3% saved)
Compiled 42 to 35 computations (16.7% saved)
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