Time bar (total: 6.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 37.5% | 62.5% | 0 |
| 0% | 37.5% | 62.5% | 1 |
| 0% | 18.7% | 81.3% | 2 |
| 0% | 9.4% | 90.6% | 3 |
| 0% | 9.4% | 90.6% | 4 |
| 0% | 7% | 93% | 5 |
| 1.2% | 4.7% | 94.1% | 6 |
| 1.2% | 3.5% | 95.3% | 7 |
| 1.8% | 2.6% | 95.6% | 8 |
| 2% | 1.9% | 96% | 9 |
| 2.4% | 1.3% | 96.3% | 10 |
| 2.6% | 1% | 96.5% | 11 |
| 2.7% | 0.7% | 96.6% | 12 |
Compiled 26 to 15 computations (42.3% saved)
| 1.9s | 8256× | body | 256 | valid |
| 243.0ms | 755× | body | 256 | invalid |
| 2× | egg-herbie |
| 746× | fma-neg_binary64 |
| 359× | fabs-div_binary64 |
| 352× | distribute-neg-frac_binary64 |
| 303× | associate-/l*_binary64 |
| 297× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 40 |
| 1 | 47 | 34 |
| 2 | 137 | 30 |
| 3 | 394 | 30 |
| 4 | 1282 | 30 |
| 5 | 5458 | 30 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b b)))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b b)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (*.f64 a a) (*.f64 b b))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 a b) (/.f64 a b) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 a (/.f64 a (*.f64 b b)) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 a (/.f64 (/.f64 a b) b) -1))) |
Compiled 17 to 10 computations (41.2% saved)
| 1× | egg-herbie |
| 704× | fma-def_binary64 |
| 600× | associate-/r*_binary64 |
| 558× | associate-*l*_binary64 |
| 489× | associate-*r*_binary64 |
| 362× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 26 | 17 |
| 2 | 72 | 15 |
| 3 | 201 | 15 |
| 4 | 549 | 15 |
| 5 | 1979 | 15 |
| 6 | 7669 | 15 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
Compiled 25 to 13 computations (48% saved)
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 |
|---|---|---|
| ▶ | 15.8b | (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
| ▶ | 15.8b | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
Compiled 27 to 16 computations (40.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 15.3b | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) | |
| 0.0b | (-.f64 (*.f64 a a) (*.f64 b b)) | |
| ✓ | 0.0b | (-.f64 (*.f64 a a) (*.f64 b b)) |
| ✓ | 15.3b | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
Compiled 53 to 8 computations (84.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 2.0ms | b | @ | inf | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 1.0ms | a | @ | inf | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 1.0ms | b | @ | 0 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 1.0ms | b | @ | -inf | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 1× | batch-egg-rewrite |
| 765× | prod-diff_binary64 |
| 451× | log-prod_binary64 |
| 391× | fma-def_binary64 |
| 295× | pow-prod-down_binary64 |
| 226× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 26 |
| 1 | 170 | 23 |
| 2 | 2722 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (*.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) (-.f64 (*.f64 a a) (*.f64 b 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (cbrt.f64 b) b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (/.f64 1 (fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 a b) 2) (pow.f64 a 4))) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (/.f64 1 (fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 a b) 2) (pow.f64 a 4))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (cbrt.f64 b) b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (/.f64 1 (fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 a b) 2) (pow.f64 a 4))) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (/.f64 1 (fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 a b) 2) (pow.f64 a 4))) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (pow.f64 (hypot.f64 a b) 2)) (fma.f64 b (neg.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (pow.f64 (hypot.f64 a b) 2)) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (pow.f64 (hypot.f64 a b) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (cbrt.f64 b) b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (pow.f64 (hypot.f64 a b) 2)) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (pow.f64 (hypot.f64 a b) 2)) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (cbrt.f64 b) b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (cbrt.f64 b) b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a b) (+.f64 a b) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b (neg.f64 b) (*.f64 b b))) 2) (cbrt.f64 (fma.f64 b (neg.f64 b) (*.f64 b b))) (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (neg.f64 b))) 2) (cbrt.f64 (*.f64 b (neg.f64 b))) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) b) (hypot.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) b) (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) (sqrt.f64 (*.f64 b (neg.f64 b))) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 b) 1) b (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))))) |
| 1× | egg-herbie |
| 772× | associate-/l*_binary64 |
| 467× | associate-/r*_binary64 |
| 408× | fma-def_binary64 |
| 362× | associate-/l/_binary64 |
| 324× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 537 |
| 1 | 30 | 483 |
| 2 | 68 | 483 |
| 3 | 211 | 483 |
| 4 | 989 | 483 |
| 5 | 5535 | 483 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(pow.f64 a 2) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(pow.f64 a 2) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(pow.f64 a 2) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(*.f64 -1 (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(*.f64 -1 (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a)) |
(*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b)) |
(*.f64 b (/.f64 (neg.f64 b) (*.f64 a a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a)) |
(*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b)) |
(*.f64 b (/.f64 (neg.f64 b) (*.f64 a a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a)) |
(*.f64 (/.f64 b (*.f64 a a)) (neg.f64 b)) |
(*.f64 b (/.f64 (neg.f64 b) (*.f64 a a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) 1) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (/.f64 (*.f64 b b) (*.f64 a a))) |
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
(*.f64 -1 (pow.f64 b 2)) |
(neg.f64 (*.f64 b b)) |
(*.f64 b (neg.f64 b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(pow.f64 a 2) |
(*.f64 a a) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(pow.f64 a 2) |
(*.f64 a a) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(pow.f64 a 2) |
(*.f64 a a) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 -1 (pow.f64 b 2)) |
(neg.f64 (*.f64 b b)) |
(*.f64 b (neg.f64 b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 -1 (pow.f64 b 2)) |
(neg.f64 (*.f64 b b)) |
(*.f64 b (neg.f64 b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2)) |
(fma.f64 -1 (*.f64 b b) (*.f64 a a)) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 15.7b | (/.f64 b (*.f64 a a)) | |
| 0.0b | (fma.f64 b (/.f64 b (*.f64 a a)) -1) | |
| ✓ | 0.0b | (fma.f64 b (/.f64 b (*.f64 a a)) -1) |
| ✓ | 15.7b | (/.f64 b (*.f64 a a)) |
Compiled 40 to 14 computations (65% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | inf | (/.f64 b (*.f64 a a)) |
| 1.0ms | b | @ | inf | (/.f64 b (*.f64 a a)) |
| 1.0ms | b | @ | 0 | (/.f64 b (*.f64 a a)) |
| 1.0ms | b | @ | -inf | (/.f64 b (*.f64 a a)) |
| 1.0ms | b | @ | -inf | (fma.f64 b (/.f64 b (*.f64 a a)) -1) |
| 1× | batch-egg-rewrite |
| 731× | pow1_binary64 |
| 677× | add-log-exp_binary64 |
| 677× | log1p-expm1-u_binary64 |
| 677× | expm1-log1p-u_binary64 |
| 660× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 18 |
| 1 | 142 | 18 |
| 2 | 1827 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b (*.f64 a a)) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (*.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (*.f64 a a))) (cbrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4))) (cbrt.f64 (/.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 b (cbrt.f64 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (/.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 a 4))) (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (*.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (*.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 b) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (*.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (*.f64 a a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 b (/.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b (/.f64 b (*.f64 a a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) 2) (cbrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) (sqrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 b (*.f64 a a))) 3) -1) (+.f64 (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 b (/.f64 b (*.f64 a a))) (*.f64 b (/.f64 b (*.f64 a a)))) 1) (-.f64 (*.f64 b (/.f64 b (*.f64 a a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))))))) |
| 1× | egg-herbie |
| 677× | unswap-sqr_binary64 |
| 580× | times-frac_binary64 |
| 504× | fma-def_binary64 |
| 391× | associate-+l+_binary64 |
| 368× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 435 |
| 1 | 22 | 435 |
| 2 | 37 | 399 |
| 3 | 88 | 399 |
| 4 | 348 | 399 |
| 5 | 2754 | 399 |
| 6 | 4459 | 399 |
| 7 | 5608 | 399 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (pow.f64 a 2)) |
-1 |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
-1 |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
-1 |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
| Outputs |
|---|
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
(/.f64 b (pow.f64 a 2)) |
(/.f64 b (*.f64 a a)) |
-1 |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
-1 |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
-1 |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) -1) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1) |
(fma.f64 (/.f64 b a) (/.f64 b a) -1) |
(fma.f64 b (/.f64 b (*.f64 a a)) -1) |
Compiled 5555 to 2217 computations (60.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 273 | 3 | 276 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 275 | 3 | 278 |
| Status | Error | Program |
|---|---|---|
| ▶ | 2.1b | (sqrt.f64 (fabs.f64 1)) |
| ▶ | 0b | (sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))))) |
| ▶ | 61.2b | (sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a))))) |
Compiled 29 to 21 computations (27.6% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 15.7b | (/.f64 b (*.f64 a a)) | |
| 14.6b | (sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a))))) | |
| 0.2b | (*.f64 b (/.f64 b (*.f64 a a))) | |
| ✓ | 0.2b | (*.f64 b (/.f64 b (*.f64 a a))) |
| ✓ | 14.6b | (sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a))))) |
| 15.7b | (/.f64 b (*.f64 a a)) |
Compiled 36 to 7 computations (80.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a))))) |
| 1.0ms | a | @ | 0 | (*.f64 b (/.f64 b (*.f64 a a))) |
| 1.0ms | b | @ | inf | (*.f64 b (/.f64 b (*.f64 a a))) |
| 1.0ms | b | @ | 0 | (sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a))))) |
| 1.0ms | b | @ | inf | (sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a))))) |
| 1× | batch-egg-rewrite |
| 776× | pow1_binary64 |
| 723× | add-log-exp_binary64 |
| 723× | log1p-expm1-u_binary64 |
| 723× | expm1-log1p-u_binary64 |
| 704× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 171 | 11 |
| 2 | 2346 | 11 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a))))) |
(*.f64 b (/.f64 b (*.f64 a a))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b a)) (cbrt.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) (/.f64 (cbrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 (sqrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 a (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (*.f64 b b)) (fabs.f64 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b b)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) b) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b a) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (neg.f64 b)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (/.f64 b a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b b) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b b) 1) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b b) (cbrt.f64 (pow.f64 a 4))) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (*.f64 b (pow.f64 a -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 b (pow.f64 a -2)) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 b a) 2))))))) |
| 1× | egg-herbie |
| 1163× | associate-/r/_binary64 |
| 948× | fabs-div_binary64 |
| 605× | fabs-mul_binary64 |
| 570× | unswap-sqr_binary64 |
| 555× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 576 |
| 1 | 20 | 528 |
| 2 | 40 | 384 |
| 3 | 99 | 336 |
| 4 | 384 | 336 |
| 5 | 2809 | 336 |
| 6 | 5568 | 336 |
| 7 | 6059 | 336 |
| 8 | 6255 | 336 |
| 9 | 6469 | 336 |
| 10 | 6734 | 336 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(sqrt.f64 (fabs.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(sqrt.f64 (*.f64 (/.f64 b a) (/.f64 b a))) |
(fabs.f64 (/.f64 b a)) |
(/.f64 b a) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 b (*.f64 a (/.f64 a b))) | |
| 0.2b | (*.f64 a (/.f64 a b)) | |
| 0.0b | (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) | |
| ✓ | 0.0b | (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
| ✓ | 0.2b | (*.f64 a (/.f64 a b)) |
| ✓ | 0.2b | (/.f64 b (*.f64 a (/.f64 a b))) |
Compiled 50 to 15 computations (70% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | inf | (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
| 4.0ms | b | @ | -inf | (*.f64 a (/.f64 a b)) |
| 1.0ms | b | @ | 0 | (*.f64 a (/.f64 a b)) |
| 1.0ms | a | @ | 0 | (*.f64 a (/.f64 a b)) |
| 1.0ms | a | @ | inf | (*.f64 a (/.f64 a b)) |
| 1× | batch-egg-rewrite |
| 985× | pow1_binary64 |
| 917× | add-log-exp_binary64 |
| 917× | log1p-expm1-u_binary64 |
| 917× | expm1-log1p-u_binary64 |
| 89× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 175 | 24 |
| 2 | 2499 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b (*.f64 a (/.f64 a b))) |
(*.f64 a (/.f64 a b)) |
(-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 (/.f64 b a) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 (/.f64 b a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 (/.f64 b a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 a (neg.f64 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b a) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 a (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 a (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (/.f64 a b)) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a b)) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 a b))) 2)) (/.f64 b (cbrt.f64 (*.f64 a (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 a b))) 2)) (cbrt.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 a b))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 a (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 a (sqrt.f64 b))) (/.f64 b (/.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (sqrt.f64 b))) (/.f64 (cbrt.f64 b) (/.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b a) 1) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 a a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b a) (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a b) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 a (neg.f64 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 b a) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (sqrt.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 a b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 a b)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (pow.f64 (/.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 2)) (/.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (pow.f64 (/.f64 b a) 2) 2))) (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (pow.f64 (/.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 2)) (+.f64 (pow.f64 (/.f64 b a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (pow.f64 (/.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 b a) 2) 2))) (neg.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) (neg.f64 (pow.f64 (/.f64 b a) 2))) (neg.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) (neg.f64 (pow.f64 (/.f64 b a) 2)))) (-.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))))) |
| 1× | egg-herbie |
| 622× | associate-/l*_binary64 |
| 525× | div-sub_binary64 |
| 495× | fma-def_binary64 |
| 394× | associate-/r*_binary64 |
| 362× | associate-/l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 717 |
| 1 | 26 | 681 |
| 2 | 54 | 681 |
| 3 | 157 | 681 |
| 4 | 763 | 681 |
| 5 | 4591 | 681 |
| 6 | 6628 | 681 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (pow.f64 a 2) b) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
| Outputs |
|---|
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 (/.f64 b (*.f64 a a)) b) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
(/.f64 (pow.f64 a 2) b) |
(/.f64 (*.f64 a a) b) |
(/.f64 a (/.f64 b a)) |
(*.f64 (/.f64 a b) a) |
(*.f64 a (/.f64 a b)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(*.f64 b (/.f64 (neg.f64 b) (*.f64 a a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(*.f64 b (/.f64 (neg.f64 b) (*.f64 a a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(*.f64 b (/.f64 (neg.f64 b) (*.f64 a a))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) |
(-.f64 1 (*.f64 (/.f64 b (*.f64 a a)) b)) |
(-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) |
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) 1) |
(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) 1) |
Compiled 8 to 8 computations (0% saved)
Compiled 2551 to 1468 computations (42.5% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 4 | 206 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 1 | 2 |
| Total | 203 | 6 | 209 |
| Status | Error | Program |
|---|---|---|
| ▶ | 59.7b | (/.f64 b a) |
| ▶ | 59.7b | (/.f64 1 (/.f64 a b)) |
| ▶ | 59.7b | (*.f64 b (/.f64 1 a)) |
| ▶ | 61.2b | (-.f64 (+.f64 1 (/.f64 b a)) 1) |
| ✓ | 2.1b | (sqrt.f64 (fabs.f64 1)) |
| ✓ | 0b | (sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))))) |
Compiled 46 to 34 computations (26.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 9.4b | (-.f64 (+.f64 1 (/.f64 b a)) 1) | |
| 0.0b | (+.f64 1 (/.f64 b a)) | |
| ✓ | 0.0b | (+.f64 1 (/.f64 b a)) |
| ✓ | 9.4b | (-.f64 (+.f64 1 (/.f64 b a)) 1) |
Compiled 20 to 10 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (-.f64 (+.f64 1 (/.f64 b a)) 1) |
| 1.0ms | b | @ | 0 | (-.f64 (+.f64 1 (/.f64 b a)) 1) |
| 1.0ms | a | @ | -inf | (-.f64 (+.f64 1 (/.f64 b a)) 1) |
| 1.0ms | a | @ | inf | (-.f64 (+.f64 1 (/.f64 b a)) 1) |
| 1.0ms | a | @ | 0 | (-.f64 (+.f64 1 (/.f64 b a)) 1) |
| 1× | batch-egg-rewrite |
| 842× | pow1_binary64 |
| 788× | add-log-exp_binary64 |
| 788× | log1p-expm1-u_binary64 |
| 788× | expm1-log1p-u_binary64 |
| 774× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 160 | 11 |
| 2 | 2271 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 b a)) 1) |
(+.f64 1 (/.f64 b a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 b a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 a b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 (/.f64 b a) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 b a) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 b a)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (+.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (-.f64 (+.f64 1 (/.f64 b a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1)) (neg.f64 (+.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 2) (cbrt.f64 (+.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) (sqrt.f64 (+.f64 1 (/.f64 b a))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 2) (cbrt.f64 (+.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) (sqrt.f64 (+.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 2) (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 2) (/.f64 b a))) (+.f64 1 (pow.f64 (/.f64 b a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 b a)) (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (-.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 2) (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (neg.f64 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1) (-.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) 1))))) |
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 237 |
| 1 | 9 | 237 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
| Outputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 b (/.f64 1 a)) | |
| ✓ | 0.2b | (*.f64 b (/.f64 1 a)) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | -inf | (*.f64 b (/.f64 1 a)) |
| 1.0ms | b | @ | 0 | (*.f64 b (/.f64 1 a)) |
| 1.0ms | b | @ | inf | (*.f64 b (/.f64 1 a)) |
| 0.0ms | a | @ | inf | (*.f64 b (/.f64 1 a)) |
| 0.0ms | a | @ | 0 | (*.f64 b (/.f64 1 a)) |
| 1× | batch-egg-rewrite |
| 537× | pow1_binary64 |
| 514× | add-sqr-sqrt_binary64 |
| 495× | add-log-exp_binary64 |
| 495× | log1p-expm1-u_binary64 |
| 495× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 4 |
| 1 | 120 | 4 |
| 2 | 1424 | 4 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 b (/.f64 1 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 96 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
| Outputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 1 (/.f64 a b)) | |
| ✓ | 0.3b | (/.f64 1 (/.f64 a b)) |
Compiled 13 to 6 computations (53.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/.f64 1 (/.f64 a b)) |
| 0.0ms | a | @ | inf | (/.f64 1 (/.f64 a b)) |
| 0.0ms | b | @ | -inf | (/.f64 1 (/.f64 a b)) |
| 0.0ms | b | @ | inf | (/.f64 1 (/.f64 a b)) |
| 0.0ms | a | @ | -inf | (/.f64 1 (/.f64 a b)) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 571× | add-log-exp_binary64 |
| 571× | log1p-expm1-u_binary64 |
| 571× | expm1-log1p-u_binary64 |
| 557× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 125 | 4 |
| 2 | 1607 | 4 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 a b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 a b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 a b)) -1) (pow.f64 (sqrt.f64 (/.f64 a b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 a)) (/.f64 (sqrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 96 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
| Outputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
Compiled 7 to 3 computations (57.1% saved)
Compiled 1580 to 824 computations (47.8% saved)
18 alts after pruning (12 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 144 | 12 | 156 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 144 | 18 | 162 |
| Status | Error | Program |
|---|---|---|
| ✓ | 59.7b | (/.f64 1 (/.f64 a b)) |
| ▶ | 59.7b | (*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1)) |
| ▶ | 61.2b | (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1) |
| ✓ | 59.7b | (*.f64 b (/.f64 1 a)) |
| 61.2b | (-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1) | |
| 61.2b | (/.f64 1 (/.f64 (+.f64 (/.f64 b a) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1))) | |
| ✓ | 61.2b | (-.f64 (+.f64 1 (/.f64 b a)) 1) |
| 61.2b | (/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) (+.f64 (/.f64 b a) -1)))) | |
| ▶ | 61.2b | (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1) |
| ✓ | 0b | (sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))))) |
| 61.3b | (-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 3) 1) | |
| ✓ | 59.7b | (/.f64 b a) |
| 61.2b | (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) 2))) | |
| 61.2b | (-.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))) 1) | |
| ▶ | 61.2b | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
| ✓ | 2.1b | (sqrt.f64 (fabs.f64 1)) |
| ▶ | 61.2b | (+.f64 (+.f64 (/.f64 b a) -1) 1) |
| 61.2b | (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (+.f64 (/.f64 b a) 2)) |
Compiled 468 to 336 computations (28.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1)) | |
| 0.1b | (pow.f64 (/.f64 1 b) -1) | |
| ✓ | 0.1b | (pow.f64 (/.f64 1 b) -1) |
| ✓ | 0.2b | (*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1)) |
Compiled 26 to 19 computations (26.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | -inf | (pow.f64 (/.f64 1 b) -1) |
| 1.0ms | b | @ | 0 | (pow.f64 (/.f64 1 b) -1) |
| 1.0ms | a | @ | 0 | (*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1)) |
| 1.0ms | b | @ | inf | (pow.f64 (/.f64 1 b) -1) |
| 1.0ms | b | @ | -inf | (*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1)) |
| 1× | batch-egg-rewrite |
| 723× | pow1_binary64 |
| 671× | add-log-exp_binary64 |
| 669× | log1p-expm1-u_binary64 |
| 669× | expm1-log1p-u_binary64 |
| 655× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 183 | 5 |
| 2 | 2134 | 5 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1)) |
(pow.f64 (/.f64 1 b) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 a (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 a) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 1 b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 1 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 b) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (/.f64 (pow.f64 a -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 b -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b -1/2) -1) (pow.f64 (pow.f64 b -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (pow.f64 b -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 b -2))) (cbrt.f64 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 108 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
b |
b |
b |
b |
b |
b |
b |
b |
b |
b |
b |
b |
| Outputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
b |
b |
b |
b |
b |
b |
b |
b |
b |
b |
b |
b |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 9.8b | (+.f64 (+.f64 (/.f64 b a) -1) 1) | |
| 0.0b | (+.f64 (/.f64 b a) -1) | |
| ✓ | 0.0b | (+.f64 (/.f64 b a) -1) |
| ✓ | 9.8b | (+.f64 (+.f64 (/.f64 b a) -1) 1) |
Compiled 21 to 11 computations (47.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (+.f64 (+.f64 (/.f64 b a) -1) 1) |
| 0.0ms | a | @ | inf | (+.f64 (/.f64 b a) -1) |
| 0.0ms | a | @ | 0 | (+.f64 (/.f64 b a) -1) |
| 0.0ms | a | @ | -inf | (+.f64 (/.f64 b a) -1) |
| 0.0ms | b | @ | inf | (+.f64 (+.f64 (/.f64 b a) -1) 1) |
| 1× | batch-egg-rewrite |
| 884× | pow1_binary64 |
| 826× | add-log-exp_binary64 |
| 826× | log1p-expm1-u_binary64 |
| 826× | expm1-log1p-u_binary64 |
| 812× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 175 | 11 |
| 2 | 2382 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 b a) -1) 1) |
(+.f64 (/.f64 b a) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (+.f64 (/.f64 b a) -2)) (/.f64 1 (+.f64 (/.f64 b a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (-.f64 1 (+.f64 (/.f64 b a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (-.f64 1 (+.f64 (/.f64 b a) -1))) (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 b a) -2) (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 a b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (-.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) -1) (+.f64 (/.f64 b a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (-.f64 1 (+.f64 (/.f64 b a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) -1)) (neg.f64 (+.f64 (/.f64 b a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 b a) 3) 0) (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 0 (*.f64 (/.f64 b a) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)) (-.f64 1 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 0) (-.f64 (/.f64 b a) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (pow.f64 a -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 b a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2) (cbrt.f64 (+.f64 (/.f64 b a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) (sqrt.f64 (+.f64 (/.f64 b a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) 0))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 b a) 1)) (/.f64 1 (+.f64 (/.f64 b a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 b a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 b a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2) (cbrt.f64 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) (sqrt.f64 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (*.f64 (/.f64 b a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 b a) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 b a)) 1) (-.f64 (sqrt.f64 (/.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (*.f64 (/.f64 b a) -1))) (+.f64 -1 (pow.f64 (/.f64 b a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 b a) 1) (+.f64 (pow.f64 (/.f64 b a) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 3)) (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (*.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 b a) 2) (*.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 b a) 2) -1) (+.f64 (/.f64 b a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (*.f64 (/.f64 b a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) 2) -1)) (neg.f64 (+.f64 (/.f64 b a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (-.f64 -1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 3)) 1) (+.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (*.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b a) 2) -1) 1) (+.f64 (/.f64 b a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 b a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 b a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (pow.f64 a -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) -1))))) |
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 237 |
| 1 | 11 | 237 |
| 2 | 12 | 237 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
-1 |
(-.f64 (/.f64 b a) 1) |
(-.f64 (/.f64 b a) 1) |
(-.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(-.f64 (/.f64 b a) 1) |
(-.f64 (/.f64 b a) 1) |
(-.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(-.f64 (/.f64 b a) 1) |
(-.f64 (/.f64 b a) 1) |
(-.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(-.f64 (/.f64 b a) 1) |
(-.f64 (/.f64 b a) 1) |
(-.f64 (/.f64 b a) 1) |
-1 |
(-.f64 (/.f64 b a) 1) |
(-.f64 (/.f64 b a) 1) |
(-.f64 (/.f64 b a) 1) |
-1 |
(-.f64 (/.f64 b a) 1) |
(-.f64 (/.f64 b a) 1) |
(-.f64 (/.f64 b a) 1) |
| Outputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
-1 |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(/.f64 b a) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(/.f64 b a) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(/.f64 b a) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
-1 |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
-1 |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
(-.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) -1) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) | |
| 0.1b | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1))) | |
| 0.0b | (-.f64 1 (+.f64 (/.f64 b a) -1)) | |
| 0.0b | (+.f64 (/.f64 b a) -1) | |
| ✓ | 0.0b | (-.f64 1 (+.f64 (/.f64 b a) -1)) |
| ✓ | 0.1b | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
| ✓ | 0.1b | (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) |
| ✓ | 9.6b | (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) |
Compiled 66 to 35 computations (47% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | b | @ | 0 | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
| 2.0ms | b | @ | inf | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
| 1.0ms | b | @ | -inf | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
| 1.0ms | a | @ | 0 | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
| 1.0ms | a | @ | inf | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
| 1× | batch-egg-rewrite |
| 815× | prod-diff_binary64 |
| 628× | log-prod_binary64 |
| 410× | fma-def_binary64 |
| 259× | fma-neg_binary64 |
| 258× | log-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 58 |
| 1 | 259 | 37 |
| 2 | 4006 | 34 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) |
(*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(-.f64 1 (+.f64 (/.f64 b a) -1)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 b a)) 3) -1) (fma.f64 (-.f64 1 (/.f64 b a)) (-.f64 1 (/.f64 b a)) (+.f64 1 (*.f64 (-.f64 1 (/.f64 b a)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 b a)) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 1 (/.f64 b a)) (-.f64 1 (/.f64 b a))) (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (/.f64 b a)) (-.f64 1 (/.f64 b a)) -1) (+.f64 (-.f64 1 (/.f64 b a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (-.f64 1 (/.f64 b a)) (-.f64 1 (/.f64 b a)))) (-.f64 1 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 2 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 a b) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 (/.f64 b a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 b a) -1) -1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 2 (/.f64 b a)) (/.f64 1 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2) (neg.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) (cbrt.f64 (-.f64 1 (/.f64 b a)))) (cbrt.f64 (-.f64 1 (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 a b)) (cbrt.f64 (/.f64 a b))) (cbrt.f64 (/.f64 a b)) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (/.f64 b a))) (sqrt.f64 (-.f64 1 (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 a b)) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) 1) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2))) 2)) (/.f64 (-.f64 2 (/.f64 b a)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) 2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2))) 2)) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (/.f64 (-.f64 2 (/.f64 b a)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) 2) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 b a))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 b a))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 b a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 b a) -1))) (sqrt.f64 (+.f64 (/.f64 b a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 2 (/.f64 b a)) (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 6))) (+.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 4)) (pow.f64 (+.f64 (/.f64 b a) -1) 2)) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 2 (/.f64 b a)) (-.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 4))) (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 2)) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 b a) -1) 2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 b a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 (/.f64 b a) -1))) (sqrt.f64 (+.f64 (/.f64 b a) -1)) 1))))) |
| 1× | egg-herbie |
| 812× | associate-/l*_binary64 |
| 512× | associate-/r*_binary64 |
| 454× | associate-*l/_binary64 |
| 425× | associate-*l*_binary64 |
| 395× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 1032 |
| 1 | 51 | 990 |
| 2 | 102 | 822 |
| 3 | 248 | 798 |
| 4 | 1128 | 798 |
| 5 | 6850 | 798 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 b a)) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 2 (/.f64 b a)) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(*.f64 2 (/.f64 b a)) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 b a))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 b a))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 b a))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(*.f64 -1 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
| Outputs |
|---|
(*.f64 2 (/.f64 b a)) |
(/.f64 2 (/.f64 a b)) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a))) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a)) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a))) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a)) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (neg.f64 (/.f64 b a))) |
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 b (neg.f64 b)) (*.f64 a a)) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(*.f64 2 (/.f64 b a)) |
(/.f64 2 (/.f64 a b)) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(*.f64 2 (/.f64 b a)) |
(/.f64 2 (/.f64 a b)) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
(+.f64 (*.f64 2 (/.f64 b a)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(fma.f64 2 (/.f64 b a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 2 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 b a))) |
(+.f64 1 (*.f64 (/.f64 b a) -2)) |
(fma.f64 (/.f64 b a) -2 1) |
(fma.f64 b (/.f64 -2 a) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1)) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) |
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1)) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) |
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))) |
(fma.f64 (/.f64 b a) -2 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1)) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) |
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1)) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) |
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))) |
(fma.f64 (/.f64 b a) -2 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1)) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) |
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1)) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) |
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))) |
(fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))) |
(fma.f64 (/.f64 b a) -2 (*.f64 (/.f64 b a) (/.f64 b a))) |
(*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2)) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1)) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) |
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1)) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) |
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 b a))) |
(+.f64 1 (*.f64 (/.f64 b a) -2)) |
(fma.f64 (/.f64 b a) -2 1) |
(fma.f64 b (/.f64 -2 a) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1)) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) |
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1)) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) |
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 b a))) |
(+.f64 1 (*.f64 (/.f64 b a) -2)) |
(fma.f64 (/.f64 b a) -2 1) |
(fma.f64 b (/.f64 -2 a) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1)) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) |
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 b a)) (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 1 (fma.f64 -2 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (fma.f64 (/.f64 b a) -2 1)) |
(+.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) |
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2) 1) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(*.f64 -1 (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
(+.f64 2 (*.f64 -1 (/.f64 b a))) |
(+.f64 2 (neg.f64 (/.f64 b a))) |
(-.f64 2 (/.f64 b a)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (pow.f64 (/.f64 b a) 2) | |
| 0.0b | (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) | |
| 0.0b | (+.f64 (/.f64 b a) -1) | |
| 0.0b | (-.f64 (pow.f64 (/.f64 b a) 2) 1) | |
| 0.0b | (+.f64 (/.f64 b a) -1) | |
| ✓ | 0.0b | (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) |
| ✓ | 0.4b | (pow.f64 (/.f64 b a) 2) |
| ✓ | 9.9b | (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1) |
Compiled 55 to 30 computations (45.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | b | @ | 0 | (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1) |
| 4.0ms | a | @ | 0 | (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1) |
| 3.0ms | b | @ | inf | (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1) |
| 3.0ms | a | @ | -inf | (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1) |
| 2.0ms | a | @ | inf | (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1) |
| 1× | batch-egg-rewrite |
| 723× | prod-diff_binary64 |
| 604× | log-prod_binary64 |
| 381× | fma-neg_binary64 |
| 279× | fma-def_binary64 |
| 223× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 274 | 24 |
| 2 | 3804 | 24 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1) |
(pow.f64 (/.f64 b a) 2) |
(/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) |
| Outputs |
|---|
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fma.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (pow.f64 a -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 b) (/.f64 1 (neg.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a -1) b 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (+.f64 (/.f64 b a) 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 b a) -1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 b a) -1)))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b a) 1))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b a) 1)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b a) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 b a) -1))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (+.f64 (/.f64 b a) 1))) (hypot.f64 1 (sqrt.f64 (+.f64 (/.f64 b a) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2)) (/.f64 (pow.f64 (/.f64 b a) 2) (cbrt.f64 (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 b a) -1))) (/.f64 (pow.f64 (/.f64 b a) 2) (sqrt.f64 (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 b a) 1) (/.f64 (/.f64 b a) (+.f64 (/.f64 b a) -1)) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (+.f64 (/.f64 b a) -1)) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 b a) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2)) (/.f64 (/.f64 b a) (cbrt.f64 (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b a) -1)) 2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 b a) (sqrt.f64 (+.f64 (/.f64 b a) -1))) (/.f64 (/.f64 b a) (sqrt.f64 (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (sqrt.f64 (+.f64 (/.f64 b a) -1))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (sqrt.f64 (+.f64 (/.f64 b a) -1))) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 (pow.f64 (/.f64 b a) 2) -1)) (+.f64 (/.f64 b a) 1) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (+.f64 -1 (pow.f64 (/.f64 b a) 3))) (-.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) (*.f64 (/.f64 b a) -1)) (neg.f64 (/.f64 1 (+.f64 (/.f64 b a) -1)))))))) |
| 1× | egg-herbie |
| 719× | associate-/l*_binary64 |
| 682× | fma-def_binary64 |
| 546× | associate-*l/_binary64 |
| 502× | distribute-rgt-in_binary64 |
| 479× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 477 |
| 1 | 48 | 477 |
| 2 | 114 | 477 |
| 3 | 264 | 477 |
| 4 | 1165 | 477 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b))) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b))) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b))) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
| Outputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b))) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(/.f64 b a) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(/.f64 b a) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
(/.f64 (pow.f64 b 2) (pow.f64 a 2)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (/.f64 b a) (/.f64 b a)) |
(*.f64 b (/.f64 (/.f64 b a) a)) |
(*.f64 b (/.f64 b (*.f64 a a))) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (-.f64 1 (/.f64 b a))) | |
| 0.0b | (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) | |
| 0.0b | (-.f64 1 (/.f64 b a)) | |
| 0.0b | (-.f64 1 (pow.f64 (/.f64 b a) 2)) | |
| ✓ | 0.0b | (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) |
| ✓ | 0.0b | (/.f64 1 (-.f64 1 (/.f64 b a))) |
| 0.4b | (pow.f64 (/.f64 b a) 2) | |
| ✓ | 9.9b | (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1) |
Compiled 65 to 37 computations (43.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | inf | (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1) |
| 2.0ms | b | @ | 0 | (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1) |
| 2.0ms | a | @ | 0 | (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1) |
| 2.0ms | b | @ | inf | (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1) |
| 1.0ms | b | @ | -inf | (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1) |
| 1× | batch-egg-rewrite |
| 590× | log-prod_binary64 |
| 347× | fma-def_binary64 |
| 314× | pow2_binary64 |
| 228× | fma-neg_binary64 |
| 214× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 1 | 279 | 21 |
| 2 | 3890 | 21 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1) |
(/.f64 1 (-.f64 1 (/.f64 b a))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b a)) (cbrt.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 b a)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 1 (+.f64 1 (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 b a)))) (/.f64 1 (+.f64 1 (+.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 a b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 1 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(expm1.f64 (*.f64 2 (log1p.f64 (/.f64 b a)))) (+.f64 1 (+.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 b a))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 1 (+.f64 1 (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 b a))))) (neg.f64 (+.f64 1 (+.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) (+.f64 1 (+.f64 1 (/.f64 b a)))) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 b a))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 b a))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (/.f64 b a) (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 (neg.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 b a)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2)) (cbrt.f64 (+.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (/.f64 1 (-.f64 1 (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 b a)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 b a)))) (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) (sqrt.f64 (+.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (/.f64 1 (-.f64 1 (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1 (/.f64 b a)) -1/2) (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (sqrt.f64 (-.f64 1 (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1 (/.f64 b a)) -1/2) (*.f64 (pow.f64 (-.f64 1 (/.f64 b a)) -1/2) (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (cbrt.f64 (-.f64 1 (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (cbrt.f64 (+.f64 1 (/.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (-.f64 1 (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (sqrt.f64 (-.f64 1 (/.f64 b a)))) (pow.f64 (-.f64 1 (/.f64 b a)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) (sqrt.f64 (-.f64 1 (/.f64 b a)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (-.f64 1 (/.f64 b a)))) -1)))) 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((x fma.f64 (hypot.f64 1 (sqrt.f64 (+.f64 1 (/.f64 b a)))) (hypot.f64 1 (sqrt.f64 (+.f64 1 (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 b a)))) (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 b a)))) (*.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 b a)))) (neg.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 b a))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (+.f64 1 (/.f64 b a)) (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (+.f64 1 (/.f64 b a)) (*.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (+.f64 1 (/.f64 b a)) (neg.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 3))) (fma.f64 (/.f64 b a) (+.f64 1 (/.f64 b a)) 1) (*.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 3))) (fma.f64 (/.f64 b a) (+.f64 1 (/.f64 b a)) 1) (*.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 3))) (fma.f64 (/.f64 b a) (+.f64 1 (/.f64 b a)) 1) (neg.f64 (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a))))))))) |
| 1× | egg-herbie |
| 838× | fma-neg_binary64 |
| 750× | associate-/l*_binary64 |
| 645× | fma-def_binary64 |
| 512× | associate-*l/_binary64 |
| 508× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 717 |
| 1 | 145 | 699 |
| 2 | 454 | 609 |
| 3 | 1669 | 579 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b))) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b))) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b))) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2)))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2)))) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))) |
(*.f64 -1 (/.f64 a b)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
| Outputs |
|---|
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b))) |
(/.f64 b a) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b))) |
(/.f64 b a) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b))) |
(/.f64 b a) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 a (*.f64 -1 a)) b))) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2)))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2)))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2)))) |
(/.f64 b a) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2)))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2)))) |
(/.f64 b a) |
(+.f64 (/.f64 b a) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 b 2)) (pow.f64 a 2)))) |
(/.f64 b a) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 b a))) |
(+.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))) |
(fma.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a) 1) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) 1) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))) |
(+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))) |
(+.f64 1 (*.f64 (/.f64 b a) (fma.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a) 1))) |
(*.f64 -1 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(*.f64 -1 (+.f64 (/.f64 a b) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 a b)) |
(*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(fma.f64 -1 (/.f64 a b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (*.f64 a a) (*.f64 b b))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (pow.f64 (/.f64 a b) 3)) |
(*.f64 (-.f64 -1 (*.f64 (/.f64 a b) (/.f64 a b))) (*.f64 (+.f64 (/.f64 a b) 1) (/.f64 a b))) |
(*.f64 -1 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(*.f64 -1 (+.f64 (/.f64 a b) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 a b)) |
(*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(fma.f64 -1 (/.f64 a b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (*.f64 a a) (*.f64 b b))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (pow.f64 (/.f64 a b) 3)) |
(*.f64 (-.f64 -1 (*.f64 (/.f64 a b) (/.f64 a b))) (*.f64 (+.f64 (/.f64 a b) 1) (/.f64 a b))) |
(*.f64 -1 (/.f64 a b)) |
(/.f64 (neg.f64 a) b) |
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))) |
(*.f64 -1 (+.f64 (/.f64 a b) (/.f64 (*.f64 a a) (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 a b)) |
(*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))) |
(fma.f64 -1 (/.f64 a b) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (*.f64 a a) (*.f64 b b))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (pow.f64 (/.f64 a b) 3)) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))))) |
(fma.f64 -1 (/.f64 a b) (fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 (*.f64 a a) (*.f64 b b)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (/.f64 (pow.f64 a 3) (pow.f64 b 3))) (/.f64 a b)) |
(-.f64 (-.f64 (*.f64 (/.f64 a b) (-.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (pow.f64 (/.f64 a b) 3)) |
(*.f64 (-.f64 -1 (*.f64 (/.f64 a b) (/.f64 a b))) (*.f64 (+.f64 (/.f64 a b) 1) (/.f64 a b))) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 b a))) |
(+.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))) |
(fma.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a) 1) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) 1) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))) |
(+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))) |
(+.f64 1 (*.f64 (/.f64 b a) (fma.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a) 1))) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))) |
(+.f64 (/.f64 b a) (+.f64 1 (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 b a))) |
(+.f64 1 (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))) |
(fma.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a) 1) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))) |
(+.f64 (/.f64 b a) (+.f64 (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) 1) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))) |
(+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 3)) (*.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a))) |
(+.f64 1 (*.f64 (/.f64 b a) (fma.f64 (+.f64 (/.f64 b a) 1) (/.f64 b a) 1))) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(/.f64 b a) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
1 |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
(+.f64 (/.f64 b a) 1) |
Compiled 29068 to 17612 computations (39.4% saved)
20 alts after pruning (13 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1047 | 12 | 1059 |
| Fresh | 6 | 1 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 7 | 10 |
| Total | 1057 | 20 | 1077 |
| Status | Error | Program |
|---|---|---|
| ✓ | 59.7b | (/.f64 b a) |
| 59.7b | (/.f64 (/.f64 1 a) (/.f64 1 b)) | |
| 59.7b | (/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) | |
| 61.2b | (-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1) | |
| 61.2b | (-.f64 (/.f64 (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) 1) (+.f64 (/.f64 b a) -1)) 1) | |
| 61.2b | (/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) 2) | |
| 52.0b | (/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1))) | |
| 59.7b | (/.f64 (/.f64 2 (/.f64 a b)) (-.f64 1 (+.f64 (/.f64 b a) -1))) | |
| ✓ | 59.7b | (*.f64 b (/.f64 1 a)) |
| 61.2b | (-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1) | |
| ✓ | 2.1b | (sqrt.f64 (fabs.f64 1)) |
| 61.5b | (+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b))) | |
| 59.7b | (*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b))) | |
| ✓ | 59.7b | (/.f64 1 (/.f64 a b)) |
| 55.0b | (/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))) | |
| 59.7b | (/.f64 1 (*.f64 a (/.f64 1 b))) | |
| ✓ | 61.2b | (-.f64 (+.f64 1 (/.f64 b a)) 1) |
| ✓ | 0b | (sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))))) |
| ✓ | 61.2b | (+.f64 (+.f64 (/.f64 b a) -1) 1) |
| 61.2b | (/.f64 (-.f64 1 (+.f64 1 (*.f64 -2 (/.f64 b a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
Compiled 248 to 178 computations (28.2% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 1 (/.f64 a b)) |
(*.f64 b (/.f64 1 a)) |
(/.f64 (/.f64 1 a) (/.f64 1 b)) |
(/.f64 1 (*.f64 a (/.f64 1 b))) |
(+.f64 (+.f64 (/.f64 b a) -1) 1) |
(-.f64 (+.f64 1 (/.f64 b a)) 1) |
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b))) |
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1) |
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1) |
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (/.f64 2 (/.f64 a b)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) 1) (+.f64 (/.f64 b a) -1)) 1) |
(/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (-.f64 1 (+.f64 1 (*.f64 -2 (/.f64 b a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1)) |
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (+.f64 (/.f64 b a) 2)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 b a) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1))) |
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) 2))) |
(-.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))) 1) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) (+.f64 (/.f64 b a) -1)))) |
(sqrt.f64 (fabs.f64 1)) |
(sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a))))) |
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 3) 1) |
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))))) |
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))))) |
12 calls:
| 40.0ms | a |
| 31.0ms | (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
| 19.0ms | (*.f64 a a) |
| 18.0ms | b |
| 13.0ms | (*.f64 a a) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | a |
| 0b | 1 | b |
| 0b | 1 | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 0b | 1 | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 0b | 1 | (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
| 0b | 1 | (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
| 0b | 1 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 0b | 1 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 0b | 1 | (*.f64 a a) |
| 0b | 1 | (*.f64 a a) |
| 0b | 1 | (*.f64 b b) |
| 0b | 1 | (*.f64 b b) |
Compiled 523 to 297 computations (43.2% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 1 (/.f64 a b)) |
(*.f64 b (/.f64 1 a)) |
(/.f64 (/.f64 1 a) (/.f64 1 b)) |
(/.f64 1 (*.f64 a (/.f64 1 b))) |
(+.f64 (+.f64 (/.f64 b a) -1) 1) |
(-.f64 (+.f64 1 (/.f64 b a)) 1) |
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b))) |
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1) |
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1) |
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (/.f64 2 (/.f64 a b)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) 1) (+.f64 (/.f64 b a) -1)) 1) |
(/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (-.f64 1 (+.f64 1 (*.f64 -2 (/.f64 b a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1)) |
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (+.f64 (/.f64 b a) 2)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 b a) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1))) |
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) 2))) |
(-.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))) 1) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) (+.f64 (/.f64 b a) -1)))) |
(sqrt.f64 (fabs.f64 1)) |
(sqrt.f64 (fabs.f64 (*.f64 b (/.f64 b (*.f64 a a))))) |
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 b a))) 3) 1) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 1)) |
3 calls:
| 16.0ms | b |
| 15.0ms | a |
| 13.0ms | (*.f64 a a) |
| Error | Segments | Branch |
|---|---|---|
| 2.1b | 1 | a |
| 2.1b | 1 | b |
| 2.1b | 1 | (*.f64 a a) |
Compiled 390 to 233 computations (40.3% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 1 (/.f64 a b)) |
(*.f64 b (/.f64 1 a)) |
(/.f64 (/.f64 1 a) (/.f64 1 b)) |
(/.f64 1 (*.f64 a (/.f64 1 b))) |
(+.f64 (+.f64 (/.f64 b a) -1) 1) |
(-.f64 (+.f64 1 (/.f64 b a)) 1) |
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b))) |
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1) |
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1) |
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (/.f64 2 (/.f64 a b)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) 1) (+.f64 (/.f64 b a) -1)) 1) |
(/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (-.f64 1 (+.f64 1 (*.f64 -2 (/.f64 b a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 1 b) -1)) |
(-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1) (+.f64 (/.f64 b a) -1)) 1) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (+.f64 (/.f64 b a) 2)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 b a) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1))) |
(-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) (/.f64 1 (-.f64 1 (/.f64 b a)))) 1) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 b a)) 2) -1) (/.f64 1 (+.f64 (/.f64 b a) 2))) |
(-.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) 2) (-.f64 1 (/.f64 b a)))) 1) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 b a) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1)) (+.f64 (/.f64 b a) -1)))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
2 calls:
| 16.0ms | b |
| 14.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 52.0b | 1 | a |
| 52.0b | 1 | b |
Compiled 363 to 218 computations (39.9% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 1 (/.f64 a b)) |
(*.f64 b (/.f64 1 a)) |
(/.f64 (/.f64 1 a) (/.f64 1 b)) |
(/.f64 1 (*.f64 a (/.f64 1 b))) |
(+.f64 (+.f64 (/.f64 b a) -1) 1) |
(-.f64 (+.f64 1 (/.f64 b a)) 1) |
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b))) |
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1) |
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1) |
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (/.f64 2 (/.f64 a b)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) 1) (+.f64 (/.f64 b a) -1)) 1) |
(/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (-.f64 1 (+.f64 1 (*.f64 -2 (/.f64 b a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
| Outputs |
|---|
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
2 calls:
| 26.0ms | b |
| 17.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 53.6b | 2 | a |
| 55.0b | 1 | b |
Compiled 183 to 109 computations (40.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2.3164228816471113e-165 | 2.1278457424210298e-162 |
Compiled 20 to 12 computations (40% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 1 (/.f64 a b)) |
(*.f64 b (/.f64 1 a)) |
(/.f64 (/.f64 1 a) (/.f64 1 b)) |
(/.f64 1 (*.f64 a (/.f64 1 b))) |
(+.f64 (+.f64 (/.f64 b a) -1) 1) |
(-.f64 (+.f64 1 (/.f64 b a)) 1) |
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b))) |
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1) |
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1) |
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (/.f64 2 (/.f64 a b)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (/.f64 b a) (/.f64 a b))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 b a) -1) (+.f64 (/.f64 b a) -1))) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) 1) (+.f64 (/.f64 b a) -1)) 1) |
| Outputs |
|---|
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
2 calls:
| 16.0ms | b |
| 8.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 59.7b | 1 | a |
| 59.7b | 1 | b |
Compiled 149 to 88 computations (40.9% saved)
Total -1.5b remaining (-2.5%)
Threshold costs -1.5b (-2.5%)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 1 (/.f64 a b)) |
(*.f64 b (/.f64 1 a)) |
(/.f64 (/.f64 1 a) (/.f64 1 b)) |
(/.f64 1 (*.f64 a (/.f64 1 b))) |
(+.f64 (+.f64 (/.f64 b a) -1) 1) |
(-.f64 (+.f64 1 (/.f64 b a)) 1) |
(*.f64 (/.f64 1 a) (/.f64 1 (/.f64 1 b))) |
(-.f64 (-.f64 (+.f64 (/.f64 b a) 2) 1) 1) |
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 b a))) 1) 1) |
| Outputs |
|---|
(/.f64 b a) |
2 calls:
| 32.0ms | b |
| 6.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 59.7b | 1 | a |
| 59.7b | 1 | b |
Compiled 78 to 52 computations (33.3% saved)
| 1× | egg-herbie |
| 15× | +-commutative_binary64 |
| 13× | sub-neg_binary64 |
| 12× | *-commutative_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 119 |
| 1 | 57 | 119 |
| 2 | 90 | 119 |
| 3 | 112 | 119 |
| 4 | 123 | 119 |
| 5 | 125 | 119 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))))) |
(sqrt.f64 (fabs.f64 1)) |
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(if (<=.f64 a 2460680399745756672/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) (/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))) |
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 b a) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b (*.f64 a (/.f64 a b)))))) |
(sqrt.f64 (fabs.f64 1)) |
1 |
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) -2))) (+.f64 1 (-.f64 1 (/.f64 b a)))) |
(/.f64 (+.f64 1 (*.f64 (/.f64 b a) (-.f64 2 (/.f64 b a)))) (+.f64 1 (-.f64 1 (/.f64 b a)))) |
(if (<=.f64 a 2460680399745756672/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) (/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))) |
(if (<=.f64 a 4806016405753431/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 (*.f64 (/.f64 b a) 2) (-.f64 1 (+.f64 (/.f64 b a) -1))) (/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (-.f64 1 (+.f64 (/.f64 b a) -1)))) |
(if (<=.f64 a 4806016405753431/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 (*.f64 (/.f64 b a) 2) (+.f64 1 (-.f64 1 (/.f64 b a)))) (/.f64 (-.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (+.f64 1 (-.f64 1 (/.f64 b a))))) |
(/.f64 (*.f64 2 (/.f64 b a)) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (*.f64 (/.f64 b a) 2) (-.f64 1 (+.f64 (/.f64 b a) -1))) |
(/.f64 (*.f64 (/.f64 b a) 2) (+.f64 1 (-.f64 1 (/.f64 b a)))) |
(/.f64 b a) |
| 1× | fuel |
Compiled 176 to 109 computations (38.1% saved)
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