Time bar (total: 11.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 50% | 50% | 0.1% | 4 |
| 74.9% | 25% | 0.1% | 5 |
| 74.9% | 25% | 0.1% | 6 |
| 74.9% | 25% | 0.1% | 7 |
| 74.9% | 25% | 0.1% | 8 |
| 74.9% | 25% | 0.1% | 9 |
| 74.9% | 25% | 0.1% | 10 |
| 74.9% | 25% | 0.1% | 11 |
| 74.9% | 25% | 0.1% | 12 |
| 74.9% | 25% | 0.1% | 13 |
| 74.9% | 25% | 0.1% | 14 |
Compiled 53 to 41 computations (22.6% saved)
| 5.7s | 3631× | body | 1024 | valid |
| 1.4s | 1469× | body | 512 | valid |
| 856.0ms | 2555× | body | 128 | valid |
| 391.0ms | 586× | body | 256 | valid |
| 46.0ms | 15× | body | 2048 | valid |
Compiled 106 to 82 computations (22.6% saved)
| 2× | egg-herbie |
| 736× | distribute-rgt-in_binary64 |
| 734× | distribute-lft-in_binary64 |
| 515× | fma-def_binary64 |
| 127× | distribute-lft-neg-out_binary64 |
| 127× | distribute-rgt-neg-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 160 |
| 1 | 120 | 148 |
| 2 | 353 | 148 |
| 3 | 1524 | 146 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) |
(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (cos.f64 y) (cos.f64 x)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 y))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 x))))) |
| Outputs |
|---|
(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) |
(/.f64 (+.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 3 (+.f64 1 (+.f64 (*.f64 (cos.f64 x) (/.f64 (+.f64 (sqrt.f64 5) -1) 2)) (*.f64 (cos.f64 y) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2))))))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2)) (fma.f64 (cos.f64 x) (+.f64 (/.f64 (sqrt.f64 5) 2) -1/2) 1)))) |
(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 3 (fma.f64 (cos.f64 x) (+.f64 (/.f64 (sqrt.f64 5) 2) -1/2) 1) (/.f64 (*.f64 (cos.f64 y) (-.f64 3 (sqrt.f64 5))) 2/3))) |
(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) (+.f64 3 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3)))) |
(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (cos.f64 y) (cos.f64 x)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 y))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 x))))) |
(/.f64 (+.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 y) (cos.f64 x))))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (cos.f64 y) (/.f64 (+.f64 (sqrt.f64 5) -1) 2))) (*.f64 (cos.f64 x) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2)))))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))) (-.f64 (cos.f64 y) (cos.f64 x)) 2) (*.f64 3 (fma.f64 (cos.f64 x) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2)) (fma.f64 (cos.f64 y) (+.f64 (/.f64 (sqrt.f64 5) 2) -1/2) 1)))) |
(/.f64 (/.f64 (fma.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (cos.f64 y) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) 2) 3) (fma.f64 (cos.f64 x) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2)) (fma.f64 (cos.f64 y) (+.f64 (/.f64 (sqrt.f64 5) 2) -1/2) 1))) |
(/.f64 (fma.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 y) (cos.f64 x)))) 2) (fma.f64 (cos.f64 x) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) (+.f64 3 (/.f64 (*.f64 (cos.f64 y) (+.f64 (sqrt.f64 5) -1)) 2/3)))) |
Compiled 52 to 40 computations (23.1% saved)
| 1× | egg-herbie |
| 444× | distribute-rgt-neg-out_binary64 |
| 418× | distribute-rgt-in_binary64 |
| 417× | distribute-lft-in_binary64 |
| 350× | unsub-neg_binary64 |
| 270× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 80 |
| 1 | 80 | 74 |
| 2 | 211 | 74 |
| 3 | 809 | 73 |
| 4 | 3815 | 73 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) |
| Outputs |
|---|
(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) |
(/.f64 (+.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))))) (*.f64 3 (+.f64 1 (+.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 (sqrt.f64 5) 2) 1/2)) (*.f64 (cos.f64 y) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2))))))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (-.f64 (cos.f64 x) (cos.f64 y))) 2) (*.f64 3 (fma.f64 (cos.f64 y) (-.f64 3/2 (/.f64 (sqrt.f64 5) 2)) (fma.f64 (cos.f64 x) (+.f64 (/.f64 (sqrt.f64 5) 2) -1/2) 1)))) |
(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (*.f64 3 (fma.f64 (cos.f64 x) (+.f64 (/.f64 (sqrt.f64 5) 2) -1/2) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2) 1)))) |
(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (/.f64 (-.f64 3 (sqrt.f64 5)) 2/3) 3))) |
(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
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 |
|---|---|---|
| ▶ | 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
| 0.5b | (/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) |
Compiled 298 to 221 computations (25.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| ✓ | 0.7b | (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) |
| ✓ | 1.0b | (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) |
| ✓ | 2.7b | (-.f64 (cos.f64 x) (cos.f64 y)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) |
| 2.0ms | x | @ | 0 | (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| 2.0ms | y | @ | inf | (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| 2.0ms | x | @ | inf | (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| 1.0ms | y | @ | 0 | (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| 1× | batch-egg-rewrite |
| 306× | add-sqr-sqrt_binary64 |
| 292× | pow1_binary64 |
| 290× | add-cbrt-cube_binary64 |
| 290× | add-exp-log_binary64 |
| 290× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 65 |
| 1 | 593 | 65 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cos.f64 x) (cos.f64 y)) |
(-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) |
(/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (sqrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (sin.f64 (/.f64 (-.f64 x y) 2)) (sin.f64 (/.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (+.f64 (*.f64 (cos.f64 y) (cos.f64 y)) (*.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 y) (cos.f64 y))) (+.f64 (cos.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cos.f64 x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 9/2 (neg.f64 (*.f64 (sqrt.f64 5) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2))) (cbrt.f64 (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)))) (cbrt.f64 (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2))) (sqrt.f64 (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 729/8 (pow.f64 (*.f64 (sqrt.f64 5) 3/2) 3)) (+.f64 81/4 (+.f64 (*.f64 (*.f64 (sqrt.f64 5) 3/2) (*.f64 (sqrt.f64 5) 3/2)) (*.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 81/4 (*.f64 (*.f64 (sqrt.f64 5) 3/2) (*.f64 (sqrt.f64 5) 3/2))) (+.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2))) (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 9/2 (*.f64 (sqrt.f64 5) 3/2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) (cbrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))) (cbrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) (sqrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))) (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))))))) |
| 1× | egg-herbie |
| 607× | associate-*l*_binary64 |
| 568× | cancel-sign-sub-inv_binary64 |
| 566× | associate-*r*_binary64 |
| 236× | fma-neg_binary64 |
| 233× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 1468 |
| 1 | 519 | 1416 |
| 2 | 1957 | 1362 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (cos.f64 y)) |
(-.f64 1 (+.f64 (cos.f64 y) (*.f64 1/2 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) 1) (+.f64 (cos.f64 y) (*.f64 1/2 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) 1) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (cos.f64 y) (*.f64 1/2 (pow.f64 x 2))))) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (cos.f64 x)) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (cos.f64 x)) (+.f64 1 (*.f64 1/24 (pow.f64 y 4)))) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (+.f64 (cos.f64 x) (*.f64 1/720 (pow.f64 y 6)))) (+.f64 1 (*.f64 1/24 (pow.f64 y 4)))) |
(*.f64 3/2 (-.f64 (sqrt.f64 5) 1)) |
(-.f64 (+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 3/2 (sqrt.f64 5))) (+.f64 3/2 (*.f64 3/4 (*.f64 (pow.f64 x 2) (sqrt.f64 5))))) |
(-.f64 (+.f64 (*.f64 3/4 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 x 4) (sqrt.f64 5))) (*.f64 3/2 (sqrt.f64 5)))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 3/2 (*.f64 3/4 (*.f64 (pow.f64 x 2) (sqrt.f64 5)))))) |
(-.f64 (+.f64 (*.f64 1/480 (pow.f64 x 6)) (+.f64 (*.f64 3/4 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 x 4) (sqrt.f64 5))) (*.f64 3/2 (sqrt.f64 5))))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/480 (*.f64 (pow.f64 x 6) (sqrt.f64 5))) (+.f64 3/2 (*.f64 3/4 (*.f64 (pow.f64 x 2) (sqrt.f64 5))))))) |
(*.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) |
(*.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) |
(*.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) |
(*.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) |
(*.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) |
(*.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) |
(*.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) |
(*.f64 3/2 (*.f64 (-.f64 (sqrt.f64 5) 1) (cos.f64 x))) |
(*.f64 -1/16 (*.f64 (-.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))) |
(-.f64 (+.f64 (*.f64 257/256 (*.f64 y (*.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 1/16 (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 257/256 (*.f64 y (sin.f64 x))))) |
(-.f64 (+.f64 (*.f64 257/256 (*.f64 y (*.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 1/16 (pow.f64 y 2)) (*.f64 1/16 (pow.f64 (sin.f64 x) 2)))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 y 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 257/256 (*.f64 y (sin.f64 x))) (*.f64 1/16 (*.f64 (pow.f64 y 2) (cos.f64 x))))))) |
(-.f64 (+.f64 (*.f64 257/256 (*.f64 y (*.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 257/384 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/16 (pow.f64 (sin.f64 x) 2)) (*.f64 1/16 (pow.f64 y 2))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 y 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 257/1536 (*.f64 (pow.f64 y 3) (*.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 2) (cos.f64 x))) (*.f64 257/256 (*.f64 y (sin.f64 x)))))))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y)))) |
(-.f64 (+.f64 (*.f64 257/256 (*.f64 (sin.f64 y) x)) (*.f64 1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y)))) (+.f64 (*.f64 257/256 (*.f64 (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 1/16 (pow.f64 (sin.f64 y) 2)))) |
(-.f64 (+.f64 (*.f64 257/256 (*.f64 (sin.f64 y) x)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (*.f64 (cos.f64 y) (pow.f64 x 2))) (*.f64 1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y)))))) (+.f64 (*.f64 257/256 (*.f64 (sin.f64 y) (*.f64 (cos.f64 y) x))) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 (sin.f64 y) 2))))) |
(-.f64 (+.f64 (*.f64 257/256 (*.f64 (sin.f64 y) x)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (*.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y))) (*.f64 257/1536 (*.f64 (sin.f64 y) (*.f64 (cos.f64 y) (pow.f64 x 3)))))))) (+.f64 (*.f64 257/384 (*.f64 (sin.f64 y) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (+.f64 (*.f64 257/256 (*.f64 (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 1/16 (pow.f64 (sin.f64 y) 2)))))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
| Outputs |
|---|
(-.f64 1 (cos.f64 y)) |
(-.f64 1 (+.f64 (cos.f64 y) (*.f64 1/2 (pow.f64 x 2)))) |
(-.f64 1 (+.f64 (cos.f64 y) (*.f64 1/2 (*.f64 x x)))) |
(-.f64 1 (fma.f64 1/2 (*.f64 x x) (cos.f64 y))) |
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) 1) (+.f64 (cos.f64 y) (*.f64 1/2 (pow.f64 x 2)))) |
(-.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (+.f64 (cos.f64 y) (*.f64 1/2 (*.f64 x x)))) |
(-.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (fma.f64 1/2 (*.f64 x x) (cos.f64 y))) |
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) 1) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (+.f64 (cos.f64 y) (*.f64 1/2 (pow.f64 x 2))))) |
(-.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (fma.f64 1/720 (pow.f64 x 6) (+.f64 (cos.f64 y) (*.f64 1/2 (*.f64 x x))))) |
(-.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (cos.f64 y)))) |
(-.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) -1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (cos.f64 x)) 1) |
(+.f64 (fma.f64 1/2 (*.f64 y y) (cos.f64 x)) -1) |
(+.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/2) -1)) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (cos.f64 x)) (+.f64 1 (*.f64 1/24 (pow.f64 y 4)))) |
(-.f64 (fma.f64 1/2 (*.f64 y y) (cos.f64 x)) (+.f64 1 (*.f64 1/24 (pow.f64 y 4)))) |
(-.f64 (fma.f64 1/2 (*.f64 y y) (cos.f64 x)) (fma.f64 1/24 (pow.f64 y 4) 1)) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (+.f64 (cos.f64 x) (*.f64 1/720 (pow.f64 y 6)))) (+.f64 1 (*.f64 1/24 (pow.f64 y 4)))) |
(-.f64 (fma.f64 1/2 (*.f64 y y) (+.f64 (cos.f64 x) (*.f64 1/720 (pow.f64 y 6)))) (+.f64 1 (*.f64 1/24 (pow.f64 y 4)))) |
(-.f64 (fma.f64 1/2 (*.f64 y y) (fma.f64 1/720 (pow.f64 y 6) (cos.f64 x))) (fma.f64 1/24 (pow.f64 y 4) 1)) |
(*.f64 3/2 (-.f64 (sqrt.f64 5) 1)) |
(*.f64 3/2 (+.f64 (sqrt.f64 5) -1)) |
(+.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2) |
(fma.f64 3/2 (sqrt.f64 5) -3/2) |
(-.f64 (+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 3/2 (sqrt.f64 5))) (+.f64 3/2 (*.f64 3/4 (*.f64 (pow.f64 x 2) (sqrt.f64 5))))) |
(-.f64 (fma.f64 3/4 (*.f64 x x) (*.f64 3/2 (sqrt.f64 5))) (+.f64 3/2 (*.f64 3/4 (*.f64 (*.f64 x x) (sqrt.f64 5))))) |
(-.f64 (fma.f64 (*.f64 x x) 3/4 (*.f64 3/2 (sqrt.f64 5))) (fma.f64 3/4 (*.f64 (*.f64 x x) (sqrt.f64 5)) 3/2)) |
(fma.f64 (*.f64 x x) 3/4 (+.f64 (*.f64 (sqrt.f64 5) (-.f64 3/2 (*.f64 (*.f64 3/4 x) x))) -3/2)) |
(-.f64 (+.f64 (*.f64 3/4 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 x 4) (sqrt.f64 5))) (*.f64 3/2 (sqrt.f64 5)))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 3/2 (*.f64 3/4 (*.f64 (pow.f64 x 2) (sqrt.f64 5)))))) |
(-.f64 (fma.f64 3/4 (*.f64 x x) (fma.f64 1/16 (*.f64 (pow.f64 x 4) (sqrt.f64 5)) (*.f64 3/2 (sqrt.f64 5)))) (fma.f64 1/16 (pow.f64 x 4) (+.f64 3/2 (*.f64 3/4 (*.f64 (*.f64 x x) (sqrt.f64 5)))))) |
(-.f64 (fma.f64 (*.f64 x x) 3/4 (*.f64 (sqrt.f64 5) (fma.f64 (pow.f64 x 4) 1/16 3/2))) (fma.f64 (pow.f64 x 4) 1/16 (fma.f64 3/4 (*.f64 (*.f64 x x) (sqrt.f64 5)) 3/2))) |
(-.f64 (fma.f64 (*.f64 x x) 3/4 (*.f64 (sqrt.f64 5) (fma.f64 (pow.f64 x 4) 1/16 3/2))) (fma.f64 (pow.f64 x 4) 1/16 (fma.f64 3/4 (*.f64 (*.f64 (sqrt.f64 5) x) x) 3/2))) |
(-.f64 (+.f64 (*.f64 1/480 (pow.f64 x 6)) (+.f64 (*.f64 3/4 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 x 4) (sqrt.f64 5))) (*.f64 3/2 (sqrt.f64 5))))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/480 (*.f64 (pow.f64 x 6) (sqrt.f64 5))) (+.f64 3/2 (*.f64 3/4 (*.f64 (pow.f64 x 2) (sqrt.f64 5))))))) |
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(*.f64 (*.f64 3/2 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x)) |
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(*.f64 (*.f64 3/2 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x)) |
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(*.f64 (*.f64 3/2 (+.f64 (sqrt.f64 5) -1)) (cos.f64 x)) |
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(-.f64 (+.f64 (*.f64 257/256 (*.f64 (sin.f64 y) x)) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (*.f64 (cos.f64 y) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y))) (*.f64 257/1536 (*.f64 (sin.f64 y) (*.f64 (cos.f64 y) (pow.f64 x 3)))))))) (+.f64 (*.f64 257/384 (*.f64 (sin.f64 y) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (+.f64 (*.f64 257/256 (*.f64 (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 1/16 (pow.f64 (sin.f64 y) 2)))))) |
(-.f64 (fma.f64 257/256 (*.f64 x (sin.f64 y)) (fma.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (fma.f64 1/16 (*.f64 (cos.f64 y) (*.f64 x x)) (fma.f64 1/16 (*.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)) (*.f64 257/1536 (*.f64 (sin.f64 y) (*.f64 (cos.f64 y) (pow.f64 x 3)))))))) (fma.f64 257/384 (*.f64 (sin.f64 y) (pow.f64 x 3)) (fma.f64 1/16 (*.f64 x x) (fma.f64 257/256 (*.f64 (sin.f64 y) (*.f64 (cos.f64 y) x)) (*.f64 1/16 (pow.f64 (sin.f64 y) 2)))))) |
(-.f64 (fma.f64 257/256 (*.f64 x (sin.f64 y)) (fma.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (fma.f64 1/16 (*.f64 (cos.f64 y) (fma.f64 x x (pow.f64 (sin.f64 y) 2))) (*.f64 257/1536 (*.f64 (cos.f64 y) (*.f64 (sin.f64 y) (pow.f64 x 3))))))) (fma.f64 257/384 (*.f64 (sin.f64 y) (pow.f64 x 3)) (fma.f64 1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 257/256 (sin.f64 y)))))) |
(-.f64 (+.f64 (fma.f64 1/32 (*.f64 x (*.f64 (pow.f64 (sin.f64 y) 2) x)) (fma.f64 1/16 (*.f64 (cos.f64 y) (fma.f64 x x (pow.f64 (sin.f64 y) 2))) (*.f64 (cos.f64 y) (*.f64 (pow.f64 x 3) (*.f64 257/1536 (sin.f64 y)))))) (*.f64 (sin.f64 y) (-.f64 (*.f64 257/256 x) (*.f64 257/384 (pow.f64 x 3))))) (fma.f64 1/16 (fma.f64 x x (pow.f64 (sin.f64 y) 2)) (*.f64 257/256 (*.f64 (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (-.f64 (sin.f64 x) (*.f64 1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (+.f64 (sin.f64 y) (*.f64 -1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
(*.f64 (+.f64 (sin.f64 x) (*.f64 -1/16 (sin.f64 y))) (*.f64 (-.f64 (sin.f64 y) (*.f64 1/16 (sin.f64 x))) (-.f64 (cos.f64 x) (cos.f64 y)))) |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 75 | 9 | 84 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 76 | 10 | 86 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (cbrt.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (cos.f64 x) (cos.f64 y))) (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 17.0b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) (sqrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (log.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.6b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) (cbrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))) (cbrt.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 10.8b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (*.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 2/3) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| ▶ | 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
Compiled 5892 to 4001 computations (32.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) | |
| 1.0b | (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) | |
| ✓ | 1.0b | (fma.f64 3/2 (sqrt.f64 5) -3/2) |
| 2.7b | (-.f64 (cos.f64 x) (cos.f64 y)) |
| 1× | batch-egg-rewrite |
| 472× | pow1_binary64 |
| 446× | add-log-exp_binary64 |
| 446× | log1p-expm1-u_binary64 |
| 446× | expm1-log1p-u_binary64 |
| 440× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 123 | 7 |
| 2 | 1210 | 7 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 3/2 (sqrt.f64 5) -3/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3/2 (*.f64 3/2 (sqrt.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/2 (sqrt.f64 5)) 1) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3/2 (sqrt.f64 5) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2) (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (sqrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 5)) 3) -27/8) (+.f64 (*.f64 (*.f64 3/2 (sqrt.f64 5)) (*.f64 3/2 (sqrt.f64 5))) (-.f64 9/4 (*.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3/2 (sqrt.f64 5)) (*.f64 3/2 (sqrt.f64 5))) 9/4) (-.f64 (*.f64 3/2 (sqrt.f64 5)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 78 | 7 | 85 |
| Fresh | 7 | 2 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 86 | 9 | 95 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2) (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2)) (*.f64 (*.f64 (cos.f64 x) (+.f64 (sqrt.f64 5) -1)) 3/2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))) 2) (+.f64 (*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (expm1.f64 (log1p.f64 (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))) 2) (+.f64 (*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (*.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (*.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| ▶ | 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 3)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
| 0.5b | (/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (log.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
Compiled 5581 to 3756 computations (32.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) | |
| ✓ | 1.0b | (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) |
| 1.0b | (fma.f64 3/2 (sqrt.f64 5) -3/2) | |
| 2.7b | (-.f64 (cos.f64 x) (cos.f64 y)) |
| 1× | batch-egg-rewrite |
| 542× | pow1_binary64 |
| 513× | add-log-exp_binary64 |
| 513× | log1p-expm1-u_binary64 |
| 513× | expm1-log1p-u_binary64 |
| 504× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 141 | 9 |
| 2 | 1402 | 9 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1/6) (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 77 | 2 | 79 |
| Fresh | 3 | 5 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 80 | 8 | 88 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (*.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))) (cbrt.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| ▶ | 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (*.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))) 2) (+.f64 (*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| ✓ | 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 3)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
| 0.5b | (/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) | |
| 1.4b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (pow.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1/6) 2) 3)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 1.1b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 1) 3)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
Compiled 5081 to 3505 computations (31% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) | |
| 1.0b | (fma.f64 3/2 (sqrt.f64 5) -3/2) | |
| ✓ | 1.0b | (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2) |
| 2.7b | (-.f64 (cos.f64 x) (cos.f64 y)) |
| 1× | batch-egg-rewrite |
| 669× | pow1_binary64 |
| 631× | add-log-exp_binary64 |
| 631× | log1p-expm1-u_binary64 |
| 631× | expm1-log1p-u_binary64 |
| 83× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 185 | 12 |
| 2 | 1793 | 12 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1/6) (*.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1/6) (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 2 | 123 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 122 | 9 | 131 |
| Status | Error | Program |
|---|---|---|
| 1.4b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (pow.f64 (pow.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2) 1/6) 2) 3)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (*.f64 (-.f64 (+.f64 1 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 1) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (*.f64 (-.f64 (sin.f64 y) (*.f64 (sin.f64 x) 1/16)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 y) 1/16))) (-.f64 (cos.f64 x) (cos.f64 y))))) 2) (+.f64 (*.f64 (cos.f64 x) (fma.f64 3/2 (sqrt.f64 5) -3/2)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| ✓ | 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 3)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
| ✓ | 0.5b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (*.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
| 0.5b | (/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 3 (+.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 (sqrt.f64 5) 1) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 3 (sqrt.f64 5)) 2) (cos.f64 y))))) | |
| 0.8b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 3)) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 2))) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) | |
| 1.1b | (/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (cos.f64 x) (cos.f64 y)))) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2))) 1) 3)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
Compiled 7938 to 5710 computations (28.1% saved)
Total 0.3b remaining (68.4%)
Threshold costs 0.3b (68.4%)
Compiled 3780 to 2492 computations (34.1% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 10× | *-commutative_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 80 |
| 1 | 48 | 80 |
| 2 | 68 | 80 |
| 3 | 82 | 80 |
| 4 | 92 | 80 |
| 5 | 95 | 80 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (log.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 3)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
| Outputs |
|---|
(/.f64 (fma.f64 (sqrt.f64 2) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (log.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 y)))))) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (fma.f64 3/2 (sqrt.f64 5) -3/2)) 3)) (fma.f64 (cos.f64 y) (-.f64 9/2 (/.f64 (sqrt.f64 5) 2/3)) 3))) |
| 1× | fuel |
Compiled 589 to 457 computations (22.4% saved)
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