Time bar (total: 1.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 100% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 75% | 25% | 0% | 5 |
| 87.5% | 12.5% | 0% | 6 |
| 93.7% | 6.2% | 0% | 7 |
| 96.8% | 3.1% | 0% | 8 |
| 98.4% | 1.6% | 0% | 9 |
| 99.2% | 0.8% | 0% | 10 |
| 99.6% | 0.4% | 0% | 11 |
| 99.8% | 0.2% | 0% | 12 |
| 99.9% | 0.1% | 0% | 13 |
| 99.9% | 0% | 0% | 14 |
Compiled 13 to 10 computations (23.1% saved)
| 760.0ms | 8256× | body | 128 | valid |
| 2× | egg-herbie |
| 369× | rule-+a-bc-+b-ac_binary64 |
| 347× | rule-+a-bc--+abc_binary64 |
| 275× | rule-/-abc--/ac/bc_binary64 |
| 204× | rule-/a-bc-/nega-cb_binary64 |
| 194× | rule--ab--+aa+ab_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 59 | 16 |
| 2 | 201 | 16 |
| 3 | 1013 | 16 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| Outputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
| 369× | rule-+a-bc-+b-ac_binary64 |
| 347× | rule-+a-bc--+abc_binary64 |
| 275× | rule-/-abc--/ac/bc_binary64 |
| 204× | rule-/a-bc-/nega-cb_binary64 |
| 194× | rule--ab--+aa+ab_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 59 | 16 |
| 2 | 201 | 16 |
| 3 | 1013 | 16 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| Outputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
Compiled 47 to 35 computations (25.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 x 1)) |
| ✓ | 0.0b | (/.f64 1 (-.f64 x 1)) |
| ✓ | 0.0b | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| 1.0ms | x | @ | -inf | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 x 1)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 264× | rule-/ab-*+aa/1/2b_binary64 |
| 207× | rule-*aa-fabs*aa_binary64 |
| 166× | rule--ab--+aa+ab_binary64 |
| 165× | rule-nega-/a-1_binary64 |
| 164× | rule-nega--0a_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 220 | 30 |
| 2 | 3183 | 30 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
(/.f64 1 (-.f64 x 1)) |
(/.f64 x (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x)))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x))))) (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x)))))) (+.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) 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((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 -1 x)) 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 -1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 -1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 x (-.f64 -1 x)))) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 x (-.f64 -1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (-.f64 -1 x))) (sqrt.f64 (/.f64 x (-.f64 -1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1/2 (+.f64 x -1)) (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (/.f64 -1/2 (-.f64 -1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (-.f64 -1 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))) (+.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))) (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (/.f64 (+.f64 x -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (/.f64 1/2 (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 x x (+.f64 1 x)) (fma.f64 x x (+.f64 1 x))) (/.f64 1/2 (+.f64 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1/2 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -1) 2))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -1) 2)))) (/.f64 1/2 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 2)) -1)) (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1)) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1/2 (+.f64 x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 -1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (-.f64 -1 x)) (/.f64 x (-.f64 -1 x))) (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 -1 x)))) (exp.f64 (log1p.f64 (/.f64 x (-.f64 -1 x))))) (+.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 -1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 x (-.f64 -1 x)) (/.f64 x (-.f64 -1 x))) (+.f64 (/.f64 x (-.f64 -1 x)) (/.f64 x (-.f64 -1 x)))) (+.f64 (+.f64 (/.f64 x (-.f64 -1 x)) (/.f64 x (-.f64 -1 x))) (/.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (fma.f64 x x (+.f64 x -1)) (+.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fabs.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fabs.f64 (/.f64 (fma.f64 x x (+.f64 x -1)) (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 -1 x))) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 -1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 -1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 -1 x))) (sqrt.f64 (/.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 -1/2 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (-.f64 -1 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (-.f64 -1 x)) (/.f64 x (-.f64 -1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (-.f64 -1 x)) (/.f64 x (-.f64 -1 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/2 (/.f64 (+.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 x x (+.f64 x -1)) (fma.f64 x x (+.f64 x -1))) (/.f64 1/2 (/.f64 (+.f64 1 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 -1 x)) 3) (pow.f64 (/.f64 x (-.f64 -1 x)) 3)) (/.f64 1/2 (pow.f64 (/.f64 x (-.f64 -1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (+.f64 x x)) (*.f64 1/2 (+.f64 x x))) (/.f64 -1/2 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (/.f64 1/2 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x)))) (/.f64 1/2 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 (/.f64 x (-.f64 -1 x)) (/.f64 x (-.f64 -1 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 -1 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 -1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 -1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (-.f64 -1 x))) (sqrt.f64 (/.f64 x (-.f64 -1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (/.f64 -1/2 (-.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x))))))) |
| 1× | egg-herbie |
| 350× | rule-+a-bc-+b-ac_binary64 |
| 253× | rule-+ab-+ba_binary64 |
| 253× | rule-a-*a1_binary64 |
| 253× | rule-a--a0_binary64 |
| 253× | rule-a-+a0_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 489 |
| 1 | 433 | 482 |
| 2 | 1554 | 453 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) -1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1) |
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (pow.f64 x 4))) -1) |
(fma.f64 -2 (*.f64 x x) (fma.f64 -2 (pow.f64 x 4) -1)) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1) |
(+.f64 (fma.f64 -2 (*.f64 x x) (fma.f64 -2 (pow.f64 x 4) (*.f64 -2 (pow.f64 x 6)))) -1) |
(+.f64 -1 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6))))) |
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 x 6) (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2 (*.f64 x x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2 (*.f64 x x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6))))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (*.f64 -1 (*.f64 x x)) (fma.f64 -1 x -1)) |
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 x -1)) |
(+.f64 -1 (*.f64 x (fma.f64 -1 x -1))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (*.f64 -1 x))) -1) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (fma.f64 -1 x -1))) |
(+.f64 -1 (fma.f64 -1 (pow.f64 x 3) (*.f64 x (fma.f64 -1 x -1)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (/.f64 1 x)) x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x) x)) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x) x))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(/.f64 (+.f64 1 (/.f64 1 x)) x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x) x)) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x) x))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(*.f64 x (fma.f64 -1 x 1)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x)) |
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) |
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3)))) |
(fma.f64 -1 (*.f64 x x) (+.f64 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 4) x))) |
(fma.f64 -1 (pow.f64 x 4) (+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (/.f64 (+.f64 (/.f64 1 x) -1) x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (/.f64 (+.f64 (/.f64 1 x) -1) x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 2 | 189 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 187 | 3 | 190 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| ▶ | 0.3b | (/.f64 (-.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x)) (*.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x))) |
| 31.7b | (+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 x 6) (+.f64 (*.f64 x x) (pow.f64 x 4))))) |
Compiled 3508 to 2659 computations (24.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x)) (*.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x))) |
| ✓ | 0.0b | (-.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x)) |
| ✓ | 0.0b | (*.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x)) |
| ✓ | 0.2b | (-.f64 (+.f64 1 x) (+.f64 x x)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x)) |
| 1.0ms | x | @ | inf | (*.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x)) |
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 1 x) (+.f64 x x)) |
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x)) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 x) (+.f64 x x)) |
| 1× | batch-egg-rewrite |
| 143× | add-sqr-sqrt_binary64 |
| 139× | pow1_binary64 |
| 139× | rules-30_binary64 |
| 139× | rules-31_binary64 |
| 139× | rules-32_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 73 |
| 1 | 294 | 54 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 x) (+.f64 x x)) |
(*.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x)) |
(-.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x)) |
(/.f64 (-.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x)) (*.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (-.f64 (+.f64 1 x) (+.f64 (+.f64 1 x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (neg.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (neg.f64 x)) (fma.f64 -1 (+.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x x))) (sqrt.f64 (+.f64 x x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x x) (neg.f64 (+.f64 1 x))) (*.f64 (+.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 1 (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (neg.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (neg.f64 x))) 2) (cbrt.f64 (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 (+.f64 1 (neg.f64 x)) (neg.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 x x) 3)) (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 x x) 3))) (/.f64 1/2 (+.f64 (pow.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 x x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (neg.f64 x)) 3) (+.f64 (pow.f64 (+.f64 1 (neg.f64 x)) 2) (+.f64 0 (*.f64 (+.f64 1 (neg.f64 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (neg.f64 x)) 3) (+.f64 (pow.f64 (+.f64 1 (neg.f64 x)) 2) (-.f64 0 (*.f64 (+.f64 1 (neg.f64 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 x x) 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 1 x) 1)) 3) (pow.f64 (+.f64 (+.f64 1 x) (+.f64 x x)) 3)) (+.f64 (*.f64 (+.f64 x (+.f64 (+.f64 1 x) 1)) (+.f64 x (+.f64 (+.f64 1 x) 1))) (+.f64 (*.f64 (+.f64 (+.f64 1 x) (+.f64 x x)) (+.f64 (+.f64 1 x) (+.f64 x x))) (*.f64 (+.f64 x (+.f64 (+.f64 1 x) 1)) (+.f64 (+.f64 1 x) (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 x) 3)) (+.f64 1 (-.f64 (*.f64 x x) (*.f64 1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (neg.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (neg.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (neg.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 x) 1 (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (neg.f64 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (neg.f64 x))) 2) (cbrt.f64 (+.f64 1 (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (+.f64 1 (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 x)) (/.f64 (neg.f64 x) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 x)) (*.f64 (+.f64 1 (/.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) (/.f64 0 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) (*.f64 (+.f64 1 (neg.f64 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) (*.f64 (+.f64 1 (/.f64 1 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (+.f64 1 (neg.f64 x))) (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) (/.f64 0 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) (*.f64 (+.f64 1 (neg.f64 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) (*.f64 (+.f64 1 (/.f64 1 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x)))) (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 1 x) (+.f64 1 (/.f64 1 x))) (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x (+.f64 (+.f64 1 x) 1)) (+.f64 1 (/.f64 1 x))) (*.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (+.f64 1 x) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 x) (/.f64 x (+.f64 1 x))) (/.f64 (+.f64 x x) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x (+.f64 (+.f64 1 x) 1)) (/.f64 x (+.f64 1 x))) (/.f64 (+.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (+.f64 1 x) (+.f64 1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 x) (/.f64 x (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 1 x)) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) (+.f64 x x)))) (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) 3) (+.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) 2) (+.f64 0 (*.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) 3) (+.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) 2) (-.f64 0 (*.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 x) (+.f64 1 (neg.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 x x) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) (+.f64 x x)))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 1 x) (+.f64 1 (neg.f64 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 x x) 3)) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 (neg.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 x x) 3)) (/.f64 x (+.f64 1 x))) (+.f64 (pow.f64 (+.f64 x 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(+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (+.f64 1 (neg.f64 x)) (+.f64 1 (/.f64 1 x))) 3) (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (+.f64 1 (neg.f64 x)) (-.f64 (-.f64 (+.f64 1 (neg.f64 x)) (+.f64 1 (/.f64 1 x))) (+.f64 1 (/.f64 1 x)))) (*.f64 1/2 (/.f64 (/.f64 x (+.f64 1 x)) (+.f64 1 (neg.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -1 (+.f64 1 (neg.f64 x))) (/.f64 x (+.f64 1 x))))))))) |
| 1× | egg-herbie |
| 846× | rule-a-/a1_binary64 |
| 555× | fma-def_binary64 |
| 297× | fma-neg_binary64 |
| 168× | rule-+a-bc-+b-ac_binary64 |
| 147× | rule-+a-bc--+abc_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 424 |
| 1 | 271 | 388 |
| 2 | 921 | 363 |
| 3 | 4813 | 363 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (*.f64 -1 x)) |
(/.f64 1 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(*.f64 -1 x) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(*.f64 -1 x) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
-1 |
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 x)) |
(fma.f64 -1 x 1) |
(+.f64 1 (*.f64 -1 x)) |
(fma.f64 -1 x 1) |
(+.f64 1 (*.f64 -1 x)) |
(fma.f64 -1 x 1) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 1 (*.f64 -1 x)) |
(fma.f64 -1 x 1) |
(+.f64 1 (*.f64 -1 x)) |
(fma.f64 -1 x 1) |
(+.f64 1 (*.f64 -1 x)) |
(fma.f64 -1 x 1) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 1 (*.f64 -1 x)) |
(fma.f64 -1 x 1) |
(+.f64 1 (*.f64 -1 x)) |
(fma.f64 -1 x 1) |
(+.f64 1 (*.f64 -1 x)) |
(fma.f64 -1 x 1) |
(/.f64 1 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(+.f64 (*.f64 -1 x) (/.f64 1 x)) |
(fma.f64 -1 x (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (neg.f64 x) (/.f64 1 x)) |
(-.f64 (/.f64 -1 x) x) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (neg.f64 x) (/.f64 1 x)) |
(-.f64 (/.f64 -1 x) x) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (neg.f64 x) (/.f64 1 x)) |
(-.f64 (/.f64 -1 x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (neg.f64 x) (/.f64 1 x)) |
(-.f64 (/.f64 -1 x) x) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (neg.f64 x) (/.f64 1 x)) |
(-.f64 (/.f64 -1 x) x) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (neg.f64 x) (/.f64 1 x)) |
(-.f64 (/.f64 -1 x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (neg.f64 x) (/.f64 1 x)) |
(-.f64 (/.f64 -1 x) x) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (neg.f64 x) (/.f64 1 x)) |
(-.f64 (/.f64 -1 x) x) |
(-.f64 (*.f64 -1 x) (/.f64 1 x)) |
(-.f64 (neg.f64 x) (/.f64 1 x)) |
(-.f64 (/.f64 -1 x) x) |
-1 |
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) -1) |
(fma.f64 x (*.f64 x -2) -1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1) |
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (pow.f64 x 4))) -1) |
(fma.f64 -2 (*.f64 x x) (fma.f64 -2 (pow.f64 x 4) -1)) |
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1) |
(+.f64 (fma.f64 -2 (*.f64 x x) (fma.f64 -2 (pow.f64 x 4) (*.f64 -2 (pow.f64 x 6)))) -1) |
(+.f64 -1 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6))))) |
(fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2 (*.f64 x x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 1 (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6))) -1)) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6))) 1)) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (/.f64 2 (*.f64 x x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 1 (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6))) -1)) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6))) 1)) |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 1 | 269 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 269 | 3 | 272 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| ▶ | 31.7b | (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) |
| ✓ | 0.3b | (/.f64 (-.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x)) (*.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x))) |
Compiled 7986 to 5122 computations (35.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) |
| ✓ | 0.0b | (fma.f64 x x (pow.f64 x 6)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 x x (pow.f64 x 6)) |
| 1.0ms | x | @ | 0 | (fma.f64 x x (pow.f64 x 6)) |
| 1.0ms | x | @ | inf | (fma.f64 x x (pow.f64 x 6)) |
| 0.0ms | x | @ | inf | (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) |
| 0.0ms | x | @ | -inf | (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) |
| 1× | batch-egg-rewrite |
| 231× | rule-*aa-fabs*aa_binary64 |
| 181× | rule-nega--0a_binary64 |
| 181× | rule-nega-/a-1_binary64 |
| 179× | rule-nega-*a-1_binary64 |
| 165× | rule-/ab-*+aa/1/2b_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 287 | 27 |
| 2 | 3372 | 27 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x x (pow.f64 x 6)) |
(fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 6) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x 6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x x (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 x x (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 x x (pow.f64 x 6)) (fma.f64 x x (pow.f64 x 6))) (fma.f64 x x (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x 6)))) (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x 6))))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x 6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (fma.f64 x x (pow.f64 x 6)) (fma.f64 x x (pow.f64 x 6))) (+.f64 (fma.f64 x x (pow.f64 x 6)) (fma.f64 x x (pow.f64 x 6)))) (+.f64 (+.f64 (fma.f64 x x (pow.f64 x 6)) (fma.f64 x x (pow.f64 x 6))) (fma.f64 x x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (pow.f64 x 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 6))) (pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 6))) 2) (cbrt.f64 (fma.f64 x x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (pow.f64 x 3)) (hypot.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 x x (pow.f64 x 6)) (fma.f64 x x (pow.f64 x 6))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 x x (pow.f64 x 6)) (fma.f64 x x (pow.f64 x 6))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x 6)) 3) (pow.f64 (fma.f64 x x (pow.f64 x 6)) 3)) (/.f64 1/2 (pow.f64 (fma.f64 x x (pow.f64 x 6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 6) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 6) 3))) (/.f64 1/2 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 12) (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 (fma.f64 x x (pow.f64 x 6)) (fma.f64 x x (pow.f64 x 6)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (pow.f64 x 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x x (pow.f64 x 6)) 3) (pow.f64 (fma.f64 x x (pow.f64 x 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 6) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 12) (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 6) 3))) (fabs.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 12) (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (pow.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 x x (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x (pow.f64 x 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 x x (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (fma.f64 x x (pow.f64 x 6)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (fma.f64 x x (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x (pow.f64 x 6)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1) (*.f64 -2 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x x (pow.f64 x 6)) -2) (+.f64 -1 (*.f64 -2 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 4)) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 -2 (pow.f64 x 4))) (*.f64 (fma.f64 x x (pow.f64 x 6)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) 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(fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))) 2) (cbrt.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))) (sqrt.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) 3) (pow.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) 3)) (/.f64 1/2 (pow.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1) 3) (pow.f64 (*.f64 -2 (pow.f64 x 4)) 3)) (+.f64 (pow.f64 (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1) 3) (pow.f64 (*.f64 -2 (pow.f64 x 4)) 3))) (/.f64 1/2 (+.f64 (*.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 4))) (-.f64 (pow.f64 (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1) 2) (*.f64 (*.f64 -2 (pow.f64 x 4)) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) 3) (pow.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1) 3) (pow.f64 (*.f64 -2 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 4))) (-.f64 (pow.f64 (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1) 2) (*.f64 (*.f64 -2 (pow.f64 x 4)) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (+.f64 (pow.f64 (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1) 3) (pow.f64 (*.f64 -2 (pow.f64 x 4)) 3))) (fabs.f64 (+.f64 (*.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 4))) (-.f64 (pow.f64 (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1) 2) (*.f64 (*.f64 -2 (pow.f64 x 4)) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) (+.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)))))))) |
| 1× | egg-herbie |
| 488× | rule--ab--+aa+ab_binary64 |
| 474× | rule-a-*a1_binary64 |
| 474× | rule-a--a0_binary64 |
| 474× | rule-a-+a0_binary64 |
| 468× | rule-a-/a1_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 284 |
| 1 | 171 | 247 |
| 2 | 520 | 236 |
| 3 | 2518 | 236 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(pow.f64 x 6) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(pow.f64 x 6) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
-1 |
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1) |
(*.f64 -2 (pow.f64 x 6)) |
(+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6))) |
(+.f64 (*.f64 -2 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 6)))) 1) |
(*.f64 -2 (pow.f64 x 6)) |
(+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6))) |
(+.f64 (*.f64 -2 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 6)))) 1) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (*.f64 x x) (pow.f64 x 6)) |
(fma.f64 x x (pow.f64 x 6)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (*.f64 x x) (pow.f64 x 6)) |
(fma.f64 x x (pow.f64 x 6)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (*.f64 x x) (pow.f64 x 6)) |
(fma.f64 x x (pow.f64 x 6)) |
(pow.f64 x 6) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (*.f64 x x) (pow.f64 x 6)) |
(fma.f64 x x (pow.f64 x 6)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (*.f64 x x) (pow.f64 x 6)) |
(fma.f64 x x (pow.f64 x 6)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (*.f64 x x) (pow.f64 x 6)) |
(fma.f64 x x (pow.f64 x 6)) |
(pow.f64 x 6) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (*.f64 x x) (pow.f64 x 6)) |
(fma.f64 x x (pow.f64 x 6)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (*.f64 x x) (pow.f64 x 6)) |
(fma.f64 x x (pow.f64 x 6)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 6)) |
(+.f64 (*.f64 x x) (pow.f64 x 6)) |
(fma.f64 x x (pow.f64 x 6)) |
-1 |
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) -1) |
(fma.f64 (*.f64 x x) -2 -1) |
(fma.f64 x (*.f64 x -2) -1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1) |
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (pow.f64 x 4))) -1) |
(fma.f64 (*.f64 x x) -2 (fma.f64 -2 (pow.f64 x 4) -1)) |
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1) |
(+.f64 (fma.f64 -2 (*.f64 x x) (fma.f64 -2 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -2))) -1) |
(+.f64 -1 (fma.f64 -2 (pow.f64 x 4) (*.f64 -2 (fma.f64 x x (pow.f64 x 6))))) |
(fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 -2 (pow.f64 x 4) -1)) |
(*.f64 -2 (pow.f64 x 6)) |
(*.f64 (pow.f64 x 6) -2) |
(+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6))) |
(fma.f64 -2 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -2)) |
(*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6))) |
(*.f64 -2 (+.f64 (pow.f64 x 6) (pow.f64 x 4))) |
(+.f64 (*.f64 -2 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 6)))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 -2 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -2))) |
(fma.f64 -2 (pow.f64 x 4) (*.f64 -2 (fma.f64 x x (pow.f64 x 6)))) |
(*.f64 -2 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 6)))) 1) |
(+.f64 (fma.f64 -2 (*.f64 x x) (fma.f64 -2 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -2))) -1) |
(+.f64 -1 (fma.f64 -2 (pow.f64 x 4) (*.f64 -2 (fma.f64 x x (pow.f64 x 6))))) |
(fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 -2 (pow.f64 x 4) -1)) |
(*.f64 -2 (pow.f64 x 6)) |
(*.f64 (pow.f64 x 6) -2) |
(+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6))) |
(fma.f64 -2 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -2)) |
(*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6))) |
(*.f64 -2 (+.f64 (pow.f64 x 6) (pow.f64 x 4))) |
(+.f64 (*.f64 -2 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 6)))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 -2 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -2))) |
(fma.f64 -2 (pow.f64 x 4) (*.f64 -2 (fma.f64 x x (pow.f64 x 6)))) |
(*.f64 -2 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 6)))) 1) |
(+.f64 (fma.f64 -2 (*.f64 x x) (fma.f64 -2 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -2))) -1) |
(+.f64 -1 (fma.f64 -2 (pow.f64 x 4) (*.f64 -2 (fma.f64 x x (pow.f64 x 6))))) |
(fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 -2 (pow.f64 x 4) -1)) |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 0 | 105 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 105 | 3 | 108 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| ✓ | 31.7b | (fma.f64 -2 (pow.f64 x 4) (fma.f64 -2 (fma.f64 x x (pow.f64 x 6)) -1)) |
| ✓ | 0.3b | (/.f64 (-.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x)) (*.f64 (-.f64 (+.f64 1 x) (+.f64 x x)) (/.f64 (+.f64 1 x) x))) |
Compiled 2353 to 1761 computations (25.2% saved)
Total -32.0b remaining (-301083%)
Threshold costs -32.0b (-301083%)
Compiled 345 to 239 computations (30.7% saved)
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 10 | 16 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| Outputs |
|---|
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| 1× | done |
Compiled 76 to 52 computations (31.6% saved)
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