Time bar (total: 4.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 25% | 75% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 62.5% | 37.5% | 0% | 5 |
| 68.7% | 31.2% | 0% | 6 |
| 71.8% | 28.1% | 0% | 7 |
| 73.4% | 26.5% | 0% | 8 |
| 74.2% | 25.8% | 0% | 9 |
| 74.6% | 25.4% | 0% | 10 |
| 74.8% | 25.2% | 0% | 11 |
| 74.9% | 25.1% | 0% | 12 |
| 74.9% | 25% | 0% | 13 |
| 74.9% | 25% | 0% | 14 |
Compiled 11 to 8 computations (27.3% saved)
| 1.6s | 2639× | body | 1024 | valid |
| 851.0ms | 1218× | body | 2048 | valid |
| 504.0ms | 1260× | body | 512 | valid |
| 308.0ms | 2421× | body | 128 | valid |
| 177.0ms | 668× | body | 256 | valid |
| 36.0ms | 50× | body | 4096 | valid |
| 2× | egg-herbie |
| 499× | rule-a--a0_binary64 |
| 499× | rule-a-+a0_binary64 |
| 498× | rule-a-*a1_binary64 |
| 492× | rule-a-/a1_binary64 |
| 294× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 48 | 9 |
| 2 | 125 | 9 |
| 3 | 516 | 9 |
| 4 | 3158 | 9 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 499× | rule-a--a0_binary64 |
| 499× | rule-a-+a0_binary64 |
| 498× | rule-a-*a1_binary64 |
| 492× | rule-a-/a1_binary64 |
| 294× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 48 | 9 |
| 2 | 125 | 9 |
| 3 | 516 | 9 |
| 4 | 3158 | 9 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 42.9b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 30 to 21 computations (30% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.2b | (+.f64 x (hypot.f64 1 x)) |
| ✓ | 2.3b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| 1.0ms | x | @ | -inf | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| 1.0ms | x | @ | inf | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| 0.0ms | x | @ | -inf | (+.f64 x (hypot.f64 1 x)) |
| 0.0ms | x | @ | inf | (+.f64 x (hypot.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 676× | rules-30_binary64 |
| 676× | rules-31_binary64 |
| 676× | rules-32_binary64 |
| 676× | rules-33_binary64 |
| 621× | rules-27_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 149 | 16 |
| 2 | 1958 | 16 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 x (hypot.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (-.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) (+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 0 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) (+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (-.f64 0 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (hypot.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x))) (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x (hypot.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1/2 (fma.f64 x x (-.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x (hypot.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 0 (*.f64 (+.f64 x (hypot.f64 1 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 0 (*.f64 (+.f64 x (hypot.f64 1 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (-.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 x) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (hypot.f64 1 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) |
| 1× | egg-herbie |
| 377× | rule-a-*a1_binary64 |
| 377× | rule-a--a0_binary64 |
| 377× | rule-a-+a0_binary64 |
| 369× | rule-a-/a1_binary64 |
| 327× | rule-+ab-+ba_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 403 |
| 1 | 648 | 401 |
| 2 | 2193 | 389 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))) |
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 2) (*.f64 1 (log.f64 x))) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (*.f64 1 (log.f64 x)) (-.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))) |
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 5/96 (pow.f64 x 6)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))) |
1 |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (*.f64 x x) 1/2 x))) |
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/8 x))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 x x) |
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 2 x (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 1/2 x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))) |
(-.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 117 | 3 | 120 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 117 | 4 | 121 |
| Status | Error | Program |
|---|---|---|
| ✓ | 42.9b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| 43.0b | (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) | |
| 47.3b | (log.f64 (/.f64 -1/2 x)) | |
| ▶ | 33.5b | x |
Compiled 1619 to 1246 computations (23% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 42.9b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| ▶ | 43.0b | (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
| 47.3b | (log.f64 (/.f64 -1/2 x)) | |
| ✓ | 33.5b | x |
Compiled 56 to 43 computations (23.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (cbrt.f64 (+.f64 x (hypot.f64 1 x))) |
| 1.2b | (+.f64 x (hypot.f64 1 x)) | |
| ✓ | 2.4b | (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
| ✓ | 2.4b | (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) |
| 1.0ms | x | @ | inf | (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
| 1.0ms | x | @ | 0 | (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) |
| 1.0ms | x | @ | -inf | (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
| 1.0ms | x | @ | -inf | (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 371× | rule-*ab-*ba_binary64 |
| 206× | rule-*aa-fabs*aa_binary64 |
| 177× | rule-/ab-*+aa/1/2b_binary64 |
| 166× | rule-nega--0a_binary64 |
| 166× | rule-nega-/a-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 250 | 34 |
| 2 | 3095 | 34 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(cbrt.f64 (+.f64 x (hypot.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (+.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1/2 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))))) |
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egg-rr> (2) ((x *.f64 (fabs.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 4)))) (fabs.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3)) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (hypot.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (fma.f64 x x (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (fabs.f64 (cbrt.f64 (fma.f64 x x (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) |
| 1× | egg-herbie |
| 599× | fma-def_binary64 |
| 595× | rule-a--a0_binary64 |
| 595× | rule-a-+a0_binary64 |
| 595× | rule-a-/a1_binary64 |
| 164× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 159 |
| 1 | 295 | 155 |
| 2 | 831 | 153 |
| 3 | 3718 | 153 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 x) |
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))) |
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))) |
(+.f64 (*.f64 -5/336 (pow.f64 x 7)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))) |
(*.f64 2/3 x) |
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (*.f64 2/3 x)) |
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/20 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -5/168 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/20 (pow.f64 x 5))))) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x))) |
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (+.f64 (*.f64 1/3 x) (*.f64 -4/81 (pow.f64 x 3))))) |
| Outputs |
|---|
(*.f64 1/3 x) |
(+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3))) |
(fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x)) |
(+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3)))) |
(fma.f64 1/40 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3)))) |
(fma.f64 1/3 x (fma.f64 1/40 (pow.f64 x 5) (*.f64 -1/18 (pow.f64 x 3)))) |
(fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x))) |
(+.f64 (*.f64 -5/336 (pow.f64 x 7)) (+.f64 (*.f64 1/40 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))) |
(fma.f64 -5/336 (pow.f64 x 7) (fma.f64 1/40 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 -1/18 (pow.f64 x 3))))) |
(fma.f64 1/40 (pow.f64 x 5) (fma.f64 -5/336 (pow.f64 x 7) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x)))) |
(fma.f64 -5/336 (pow.f64 x 7) (fma.f64 1/40 (pow.f64 x 5) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/3 x)))) |
(*.f64 2/3 x) |
(*.f64 x 2/3) |
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (*.f64 2/3 x)) |
(fma.f64 -1/9 (pow.f64 x 3) (*.f64 x 2/3)) |
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/9)) |
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/20 (pow.f64 x 5)))) |
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/20))) |
(fma.f64 x 2/3 (fma.f64 (pow.f64 x 3) -1/9 (*.f64 (pow.f64 x 5) 1/20))) |
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -5/168 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/20 (pow.f64 x 5))))) |
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -5/168 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/20)))) |
(fma.f64 (pow.f64 x 7) -5/168 (fma.f64 x 2/3 (fma.f64 (pow.f64 x 3) -1/9 (*.f64 (pow.f64 x 5) 1/20)))) |
(fma.f64 x 2/3 (fma.f64 (pow.f64 x 3) -1/9 (fma.f64 (pow.f64 x 7) -5/168 (*.f64 (pow.f64 x 5) 1/20)))) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(+.f64 (*.f64 1/3 x) 1) |
(fma.f64 1/3 x 1) |
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x))) |
(+.f64 1 (fma.f64 1/18 (*.f64 x x) (*.f64 1/3 x))) |
(fma.f64 1/18 (*.f64 x x) (fma.f64 1/3 x 1)) |
(fma.f64 1/3 x (fma.f64 x (*.f64 x 1/18) 1)) |
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (+.f64 (*.f64 1/3 x) (*.f64 -4/81 (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 1/18 (*.f64 x x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -4/81)))) |
(fma.f64 1/18 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 3) -4/81) (fma.f64 1/3 x 1))) |
(fma.f64 x (*.f64 x 1/18) (fma.f64 (pow.f64 x 3) -4/81 (fma.f64 1/3 x 1))) |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 376 | 0 | 376 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 376 | 4 | 380 |
| Status | Error | Program |
|---|---|---|
| ✓ | 42.9b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| ✓ | 43.0b | (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
| ▶ | 47.3b | (log.f64 (/.f64 -1/2 x)) |
| ✓ | 33.5b | x |
Compiled 9064 to 7141 computations (21.2% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 42.9b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| ✓ | 43.0b | (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
| ✓ | 47.3b | (log.f64 (/.f64 -1/2 x)) |
| ✓ | 33.5b | x |
Compiled 33 to 25 computations (24.2% saved)
Total -62.9b remaining (-9989.4%)
Threshold costs -62.9b (-9989.4%)
Compiled 84 to 61 computations (27.4% saved)
| 2× | binary-search |
2 calls:
| 22.0ms | x |
| 22.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
4.5928362424967895e-15 | ∈ [ | 4.5928362424967895e-15 | , | 3.4206267866078397 | ] | |
-2.5607008942279514 | ∈ [ | -2.5607008942279514 | , | -2.289180372072183e-12 | ] | |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 28 |
| 1 | 18 | 28 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -5766185796526149/2251799813685248) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5822111619551021/1267650600228229401496703205376) x (log.f64 (+.f64 x (hypot.f64 1 x))))) |
| Outputs |
|---|
(if (<=.f64 x -5766185796526149/2251799813685248) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5822111619551021/1267650600228229401496703205376) x (log.f64 (+.f64 x (hypot.f64 1 x))))) |
| 1× | done |
Compiled 68 to 48 computations (29.4% saved)
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