Time bar (total: 4.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 25% | 25% | 4 |
| 50% | 12.5% | 37.5% | 5 |
| 50% | 6.2% | 43.8% | 6 |
| 50% | 3.1% | 46.9% | 7 |
| 50% | 1.6% | 48.5% | 8 |
| 50% | 1.6% | 48.5% | 9 |
| 50.4% | 1.2% | 48.5% | 10 |
| 50.4% | 1.2% | 48.5% | 11 |
| 50.4% | 1.1% | 48.6% | 12 |
| 50.4% | 1% | 48.6% | 13 |
| 50.5% | 0.9% | 48.6% | 14 |
Compiled 15 to 8 computations (46.7% saved)
| 1.9s | 4006× | body | 1024 | valid |
| 589.0ms | 1983× | body | 512 | valid |
| 224.0ms | 425× | body | 2048 | valid |
| 196.0ms | 1011× | body | 256 | valid |
| 90.0ms | 831× | body | 128 | valid |
| 0.0ms | 1× | body | 128 | invalid |
| 2× | egg-herbie |
| 356× | rule-*b-ac--*ab*bc_binary64 |
| 265× | rule-/+abc-+/ac/bc_binary64 |
| 255× | rule-a-*a1_binary64 |
| 255× | rule-a--a0_binary64 |
| 255× | rule-a-+a0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 1 | 57 | 22 |
| 2 | 243 | 21 |
| 3 | 1352 | 19 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2) -1) |
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
Compiled 14 to 7 computations (50% saved)
| 1× | egg-herbie |
| 356× | rule-*b-ac--*ab*bc_binary64 |
| 265× | rule-/+abc-+/ac/bc_binary64 |
| 255× | rule-a-*a1_binary64 |
| 255× | rule-a--a0_binary64 |
| 255× | rule-a-+a0_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 1 | 57 | 22 |
| 2 | 243 | 21 |
| 3 | 1352 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2) -1) |
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| 58.2b | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) | |
| ▶ | 56.1b | (+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
Compiled 80 to 50 computations (37.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
| ✓ | 0.0b | (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
| ✓ | 0.0b | (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
| ✓ | 6.8b | (+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
| 1.0ms | x | @ | inf | (+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
| 1.0ms | x | @ | 0 | (+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
| 1.0ms | x | @ | inf | (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
| 1.0ms | x | @ | -inf | (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
| 4× | egg-rewrite |
| 1× | egg-rewrite-iter-limit |
| 1× | batch-egg-rewrite |
| 887× | rules-31_binary64 |
| 887× | rules-32_binary64 |
| 887× | rules-33_binary64 |
| 681× | rules-30_binary64 |
| 681× | rules-31_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 44 |
| 1 | 302 | 44 |
| 2 | 4019 | 44 |
| 0 | 12 | 17 |
| 1 | 302 | 17 |
| 2 | 4019 | 17 |
| 0 | 12 | 17 |
| 0 | 6 | 8 |
| 1 | 149 | 6 |
| 2 | 2126 | 6 |
| 0 | 10 | 14 |
| 1 | 253 | 12 |
| 2 | 3378 | 12 |
| 0 | 8 | 11 |
| 1 | 198 | 9 |
| 2 | 2751 | 9 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))))) (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))))))) (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))))) (sqrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))))) (*.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))))) (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))))) (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) 2) (/.f64 0 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 x) 2) (/.f64 0 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (exp.f64 x)) (/.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) (exp.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) 2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 2) (pow.f64 (exp.f64 x) 2))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 x))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 1/2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 x))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 1 (exp.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 (+.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (+.f64 1 (exp.f64 (+.f64 x x)))) (+.f64 1 (exp.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 1 (exp.f64 (+.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (+.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (+.f64 x x)))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (exp.f64 x)) (hypot.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (+.f64 1 (exp.f64 (+.f64 x x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 x x)) 3)) (+.f64 1 (pow.f64 (exp.f64 (+.f64 x x)) 3))) (/.f64 1/2 (+.f64 1 (-.f64 (pow.f64 (exp.f64 (+.f64 x x)) 2) (exp.f64 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 (+.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 3) (+.f64 (pow.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 2) (+.f64 0 (*.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 3) (+.f64 (pow.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 2) (-.f64 0 (*.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 x x)) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (+.f64 x x)) 2) (exp.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (+.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 1 (exp.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 1 (exp.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (+.f64 x x)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (exp.f64 (+.f64 x x))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (+.f64 x x)))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (+.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) 2) (cbrt.f64 (exp.f64 (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (exp.f64 x)) (hypot.f64 1 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (exp.f64 x)) (*.f64 1/2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 (+.f64 x x)))))))) |
| 1× | egg-herbie |
| 632× | fma-def_binary64 |
| 265× | fma-neg_binary64 |
| 185× | rule-+a+bc-+b+ac_binary64 |
| 162× | rule-+a-bc-+b-ac_binary64 |
| 154× | rule-a-*a1_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 434 |
| 1 | 397 | 386 |
| 2 | 1079 | 382 |
| 3 | 4893 | 382 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) 1) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) 1) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) 1) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) 1) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1))) 1) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1))) 1) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1))) 1) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1))) 1) |
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 -4/3 (pow.f64 x 3))))) |
(/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) |
(/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) |
(/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) |
(/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) |
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))) |
(/.f64 2 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1)) |
(/.f64 2 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1)) |
(/.f64 2 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1)) |
(/.f64 2 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1)) |
2 |
(+.f64 2 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1) |
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1) |
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1) |
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) |
(fma.f64 -1/3 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) |
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x))) |
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) 1) |
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) -1) |
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))) |
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) 1) |
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) -1) |
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))) |
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) 1) |
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) -1) |
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))) |
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) 1) |
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) -1) |
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))) |
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1))) 1) |
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) -1) |
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))) |
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1))) 1) |
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) -1) |
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))) |
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1))) 1) |
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) -1) |
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))) |
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) |
(-.f64 (*.f64 2 (/.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1))) 1) |
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) -1) |
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))) |
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) |
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 x) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (fma.f64 -2 x (*.f64 (pow.f64 x 3) -4/3)))) |
(+.f64 1 (fma.f64 2 (*.f64 x x) (fma.f64 (pow.f64 x 3) -4/3 (*.f64 x -2)))) |
(fma.f64 x (+.f64 x x) (fma.f64 (pow.f64 x 3) -4/3 (fma.f64 x -2 1))) |
(/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 x -2)) |
(pow.f64 (exp.f64 -2) x) |
(/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 x -2)) |
(pow.f64 (exp.f64 -2) x) |
(/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 x -2)) |
(pow.f64 (exp.f64 -2) x) |
(/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 x -2)) |
(pow.f64 (exp.f64 -2) x) |
1 |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) |
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1) |
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))) |
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1) |
(fma.f64 -1/3 (pow.f64 x 3) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1)) |
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (+.f64 x 1))) |
(/.f64 2 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1)) |
(/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) |
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) |
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) |
(/.f64 2 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1)) |
(/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) |
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) |
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) |
(/.f64 2 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1)) |
(/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) |
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) |
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) |
(/.f64 2 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1)) |
(/.f64 2 (+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x)))) |
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) |
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) |
2 |
(+.f64 2 (*.f64 -2 x)) |
(+.f64 2 (*.f64 x -2)) |
(fma.f64 x -2 2) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 x -2))) |
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 2)) |
(fma.f64 x -2 (fma.f64 x (+.f64 x x) 2)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (+.f64 2 (fma.f64 -2 x (*.f64 (pow.f64 x 3) -4/3)))) |
(+.f64 2 (fma.f64 2 (*.f64 x x) (fma.f64 (pow.f64 x 3) -4/3 (*.f64 x -2)))) |
(fma.f64 x (+.f64 x x) (fma.f64 x -2 (fma.f64 (pow.f64 x 3) -4/3 2))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1) |
(+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))) |
(+.f64 1 (exp.f64 (*.f64 x -2))) |
(+.f64 1 (pow.f64 (exp.f64 -2) x)) |
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1) |
(+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))) |
(+.f64 1 (exp.f64 (*.f64 x -2))) |
(+.f64 1 (pow.f64 (exp.f64 -2) x)) |
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1) |
(+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))) |
(+.f64 1 (exp.f64 (*.f64 x -2))) |
(+.f64 1 (pow.f64 (exp.f64 -2) x)) |
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 x)) 1) |
(+.f64 1 (exp.f64 (-.f64 (neg.f64 x) x))) |
(+.f64 1 (exp.f64 (*.f64 x -2))) |
(+.f64 1 (pow.f64 (exp.f64 -2) x)) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 163 | 1 | 164 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 164 | 2 | 166 |
| Status | Error | Program |
|---|---|---|
| ▶ | 3.0b | (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) |
| ✓ | 56.1b | (+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
Compiled 2453 to 1800 computations (26.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) |
| ✓ | 0.0b | (fma.f64 -17/315 (pow.f64 x 7) x) |
| ✓ | 0.0b | (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
| 1.0ms | x | @ | inf | (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
| 1.0ms | x | @ | -inf | (fma.f64 -17/315 (pow.f64 x 7) x) |
| 1.0ms | x | @ | inf | (fma.f64 -17/315 (pow.f64 x 7) x) |
| 1.0ms | x | @ | 0 | (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
| 1× | batch-egg-rewrite |
| 245× | rule-nega--0a_binary64 |
| 245× | rule-nega-/a-1_binary64 |
| 245× | rule-nega-*a-1_binary64 |
| 156× | add-sqr-sqrt_binary64 |
| 152× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 45 |
| 1 | 383 | 45 |
| 2 | 4474 | 45 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
(fma.f64 -17/315 (pow.f64 x 7) x) |
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -17/315 (pow.f64 x 7) x) (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/15 (pow.f64 x 5)) (fma.f64 -17/315 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 3) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) (pow.f64 (fma.f64 -17/315 (pow.f64 x 7) x) 3)) (+.f64 (*.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 2/15 (pow.f64 x 5))) (-.f64 (pow.f64 (fma.f64 -17/315 (pow.f64 x 7) x) 2) (*.f64 (*.f64 2/15 (pow.f64 x 5)) (fma.f64 -17/315 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))))))) |
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| 1× | egg-herbie |
| 342× | rule-+*ab*bc-*b+ac_binary64 |
| 315× | rule-a-*a1_binary64 |
| 315× | rule-a--a0_binary64 |
| 315× | rule-a-+a0_binary64 |
| 315× | rule-a-/a1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 402 |
| 1 | 158 | 402 |
| 2 | 440 | 402 |
| 3 | 1866 | 402 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
x |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
x |
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x) |
(fma.f64 2/15 (pow.f64 x 5) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
x |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(fma.f64 -17/315 (pow.f64 x 7) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(fma.f64 -17/315 (pow.f64 x 7) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(fma.f64 -17/315 (pow.f64 x 7) x) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(fma.f64 -17/315 (pow.f64 x 7) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(fma.f64 -17/315 (pow.f64 x 7) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(fma.f64 -17/315 (pow.f64 x 7) x) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(fma.f64 -17/315 (pow.f64 x 7) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(fma.f64 -17/315 (pow.f64 x 7) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) x) |
(fma.f64 -17/315 (pow.f64 x 7) x) |
x |
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) |
(fma.f64 -1/3 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) x))) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3)))) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) x))) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3)))) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) x))) |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 116 | 1 | 117 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 116 | 3 | 119 |
| Status | Error | Program |
|---|---|---|
| ▶ | 4.4b | (fma.f64 -1/3 (pow.f64 x 3) (*.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2))) |
| ✓ | 3.0b | (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) |
| ✓ | 56.1b | (+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
Compiled 2532 to 1975 computations (22% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) | |
| ✓ | 0.2b | (*.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2) |
| ✓ | 0.7b | (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) |
| 2.0ms | x | @ | -inf | (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2) |
| 0.0ms | x | @ | inf | (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) |
| 1× | batch-egg-rewrite |
| 287× | rule-*aa-fabs*aa_binary64 |
| 220× | rule-nega--0a_binary64 |
| 220× | rule-nega-/a-1_binary64 |
| 220× | rule-nega-*a-1_binary64 |
| 143× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 1 | 374 | 52 |
| 2 | 4130 | 52 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) |
(pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2) |
(*.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 1/6) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))) 3)))) 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| 1× | egg-herbie |
| 567× | fma-def_binary64 |
| 482× | fma-neg_binary64 |
| 226× | rule-+a-bc--+abc_binary64 |
| 206× | rule-+a-bc-+b-ac_binary64 |
| 190× | rule--+abc-+a-bc_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 141 |
| 1 | 86 | 141 |
| 2 | 232 | 141 |
| 3 | 857 | 141 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x) |
(fma.f64 2/15 (pow.f64 x 5) x) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
(*.f64 -17/315 (pow.f64 x 7)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)) |
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)) |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 229 | 0 | 229 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 229 | 3 | 232 |
| Status | Error | Program |
|---|---|---|
| ✓ | 4.4b | (fma.f64 -1/3 (pow.f64 x 3) (*.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) 2))) |
| ✓ | 3.0b | (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) |
| ✓ | 56.1b | (+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
Compiled 8052 to 6384 computations (20.7% saved)
Total -58.6b remaining (-24199%)
Threshold costs -58.6b (-24199%)
Compiled 244 to 177 computations (27.5% saved)
| 2× | binary-search |
2 calls:
| 22.0ms | x |
| 22.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
0.0010185916314394518 | ∈ [ | 0.0010185916314394518 | , | 338.49646634083336 | ] | |
-15.59074868643072 | ∈ [ | -15.59074868643072 | , | -0.014370327198890902 | ] | |
Compiled 18 to 10 computations (44.4% saved)
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 64 |
| 1 | 32 | 64 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -8776811246829555/562949953421312) (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (if (<=.f64 x 18789699140785852/18446744073709551616) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) |
| Outputs |
|---|
(if (<=.f64 x -8776811246829555/562949953421312) (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (if (<=.f64 x 18789699140785852/18446744073709551616) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) |
(if (<=.f64 x -8776811246829555/562949953421312) (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (if (<=.f64 x 4697424785196463/4611686018427387904) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x))) (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) |
| 1× | done |
Compiled 150 to 121 computations (19.3% saved)
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