Time bar (total: 11.1s)
| 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 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 12.5% | 87.4% | 0.1% | 6 |
| 18.7% | 81.2% | 0.1% | 7 |
| 25% | 73.4% | 1.7% | 8 |
| 28.1% | 68.7% | 3.2% | 9 |
| 31.2% | 62.8% | 6% | 10 |
| 32.8% | 60.1% | 7.1% | 11 |
| 34.3% | 56.7% | 9% | 12 |
Compiled 15 to 12 computations (20% saved)
| 976.0ms | 2324× | body | 1024 | valid |
| 837.0ms | 4691× | body | 256 | valid |
| 361.0ms | 1232× | body | 512 | valid |
| 50.0ms | 331× | body | 256 | invalid |
| 6.0ms | 9× | body | 2048 | valid |
| 1.0ms | 2× | body | 512 | invalid |
| 0.0ms | 1× | body | 1024 | invalid |
| 2× | egg-herbie |
| 698× | fma-def_binary64 |
| 260× | fma-neg_binary64 |
| 199× | associate-/r*_binary64 |
| 178× | distribute-rgt-in_binary64 |
| 166× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 38 |
| 1 | 41 | 28 |
| 2 | 98 | 28 |
| 3 | 173 | 28 |
| 4 | 275 | 28 |
| 5 | 417 | 28 |
| 6 | 520 | 28 |
| 7 | 665 | 28 |
| 8 | 828 | 28 |
| 9 | 877 | 28 |
| 10 | 917 | 28 |
| 11 | 1082 | 28 |
| 12 | 1594 | 28 |
| 13 | 3170 | 28 |
| 14 | 3388 | 28 |
| 15 | 3448 | 28 |
| 16 | 3484 | 28 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (/.f64 1 (sin.f64 x))) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (tan.f64 B))) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (/.f64 1 (sin.f64 x))) |
(+.f64 (*.f64 (neg.f64 B) (/.f64 1 (tan.f64 x))) (/.f64 1 (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 B (tan.f64 x))) |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 105× | fma-def_binary64 |
| 66× | fma-neg_binary64 |
| 28× | cancel-sign-sub-inv_binary64 |
| 19× | sub-neg_binary64 |
| 11× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 24 | 14 |
| 2 | 53 | 14 |
| 3 | 92 | 14 |
| 4 | 145 | 14 |
| 5 | 218 | 14 |
| 6 | 269 | 14 |
| 7 | 343 | 14 |
| 8 | 425 | 14 |
| 9 | 446 | 14 |
| 10 | 451 | 14 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
(+.f64 (*.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
Compiled 23 to 15 computations (34.8% 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 |
|---|---|---|
| ▶ | 0.1b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| ▶ | 0.2b | (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
Compiled 25 to 19 computations (24% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
| ✓ | 0.1b | (/.f64 1 (sin.f64 B)) |
| ✓ | 0.2b | (/.f64 1 (tan.f64 B)) |
| ✓ | 0.3b | (*.f64 x (/.f64 1 (tan.f64 B))) |
Compiled 42 to 23 computations (45.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (*.f64 x (/.f64 1 (tan.f64 B))) |
| 2.0ms | B | @ | inf | (*.f64 x (/.f64 1 (tan.f64 B))) |
| 1.0ms | x | @ | inf | (*.f64 x (/.f64 1 (tan.f64 B))) |
| 1.0ms | B | @ | -inf | (*.f64 x (/.f64 1 (tan.f64 B))) |
| 1.0ms | B | @ | 0 | (*.f64 x (/.f64 1 (tan.f64 B))) |
| 1× | batch-egg-rewrite |
| 559× | log-prod_binary64 |
| 394× | fma-def_binary64 |
| 334× | pow-prod-down_binary64 |
| 283× | pow2_binary64 |
| 228× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 1 | 240 | 32 |
| 2 | 3340 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 1 (tan.f64 B))) |
(/.f64 1 (tan.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (tan.f64 B) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (tan.f64 B))) (sqrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 x (tan.f64 B)) 3)) (+.f64 0 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (*.f64 0 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -1) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) (cbrt.f64 (pow.f64 (tan.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 B) -2)) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 B) -1/2) (pow.f64 (tan.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) -2) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 B)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 B)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (tan.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 B))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 B)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 B)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 B))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (/.f64 (pow.f64 (sin.f64 B) -2) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (sin.f64 B)) 0) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (+.f64 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-1/2)) (pow.f64 (tan.f64 B) -1/2) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (tan.f64 B) -2))) (/.f64 1 (cbrt.f64 (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (tan.f64 B) -1/2)) (pow.f64 (tan.f64 B) -1/2) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 (sin.f64 B))))))) |
| 1× | egg-herbie |
| 682× | sub-neg_binary64 |
| 502× | distribute-rgt-in_binary64 |
| 494× | fma-def_binary64 |
| 480× | distribute-lft-in_binary64 |
| 370× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 946 |
| 1 | 225 | 913 |
| 2 | 695 | 893 |
| 3 | 3071 | 889 |
| 4 | 7532 | 889 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 x B) |
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 1 B) |
(+.f64 (*.f64 -1/3 B) (/.f64 1 B)) |
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))) |
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B)))) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 1 B) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B)))) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
| Outputs |
|---|
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 x B) |
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))) |
(fma.f64 (*.f64 B -1/3) x (/.f64 x B)) |
(fma.f64 B (*.f64 x -1/3) (/.f64 x B)) |
(fma.f64 x (*.f64 B -1/3) (/.f64 x B)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(-.f64 (fma.f64 (*.f64 B -1/3) x (/.f64 x B)) (*.f64 x (*.f64 1/45 (pow.f64 B 3)))) |
(fma.f64 B (*.f64 x -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B))) |
(+.f64 (/.f64 x B) (*.f64 x (fma.f64 (pow.f64 B 3) -1/45 (*.f64 B -1/3)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))) |
(fma.f64 -1 (*.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))) |
(-.f64 (-.f64 (fma.f64 (*.f64 B -1/3) x (/.f64 x B)) (*.f64 x (*.f64 1/45 (pow.f64 B 3)))) (*.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) (pow.f64 B 5))) |
(-.f64 (fma.f64 B (*.f64 x -1/3) (/.f64 x B)) (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (*.f64 x (*.f64 (pow.f64 B 3) 1/45)))) |
(+.f64 (/.f64 x B) (fma.f64 (pow.f64 B 5) (*.f64 x -2/945) (*.f64 x (fma.f64 (pow.f64 B 3) -1/45 (*.f64 B -1/3))))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 1 B) |
(+.f64 (*.f64 -1/3 B) (/.f64 1 B)) |
(fma.f64 -1/3 B (/.f64 1 B)) |
(fma.f64 B -1/3 (/.f64 1 B)) |
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))) |
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (/.f64 1 B))) |
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B))) |
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B)))) |
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (fma.f64 -2/945 (pow.f64 B 5) (/.f64 1 B)))) |
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (fma.f64 (pow.f64 B 5) -2/945 (/.f64 1 B)))) |
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 5) -2/945 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B)))) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 1 B) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(fma.f64 1/6 B (/.f64 1 B)) |
(fma.f64 B 1/6 (/.f64 1 B)) |
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B))) |
(fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (/.f64 1 B))) |
(fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (/.f64 1 B))) |
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B)))) |
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))) |
(fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (fma.f64 (pow.f64 B 5) 31/15120 (/.f64 1 B)))) |
(fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 (pow.f64 B 5) 31/15120 (/.f64 1 B)))) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B)) |
(+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B)) |
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45))) 31/15120)) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B)) |
(fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) 31/15120) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))) |
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| ✓ | 0.1b | (/.f64 x (tan.f64 B)) |
| 0.1b | (/.f64 1 (sin.f64 B)) |
Compiled 26 to 11 computations (57.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | B | @ | 0 | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 0.0ms | x | @ | 0 | (/.f64 x (tan.f64 B)) |
| 0.0ms | B | @ | 0 | (/.f64 x (tan.f64 B)) |
| 0.0ms | B | @ | inf | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 0.0ms | B | @ | -inf | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 1× | batch-egg-rewrite |
| 785× | prod-diff_binary64 |
| 495× | log-prod_binary64 |
| 276× | fma-def_binary64 |
| 272× | pow2_binary64 |
| 200× | egg-rr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 199 | 20 |
| 2 | 2915 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (tan.f64 B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 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(/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule 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B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (tan.f64 B) (sin.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (tan.f64 B) (sin.f64 B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) 2) (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B))))))) |
| 1× | egg-herbie |
| 683× | sub-neg_binary64 |
| 520× | distribute-rgt-in_binary64 |
| 506× | distribute-lft-in_binary64 |
| 370× | cancel-sign-sub-inv_binary64 |
| 348× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 784 |
| 1 | 168 | 751 |
| 2 | 549 | 731 |
| 3 | 2780 | 729 |
| 4 | 7258 | 729 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 x B) |
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
| Outputs |
|---|
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 x B) |
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))) |
(fma.f64 (*.f64 B -1/3) x (/.f64 x B)) |
(fma.f64 B (*.f64 x -1/3) (/.f64 x B)) |
(fma.f64 x (*.f64 B -1/3) (/.f64 x B)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(fma.f64 (neg.f64 (*.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (*.f64 B -1/3) x (/.f64 x B))) |
(fma.f64 B (*.f64 x -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))) |
(fma.f64 -1 (*.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))) |
(fma.f64 (neg.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105))) (pow.f64 B 5) (fma.f64 (neg.f64 (*.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (*.f64 B -1/3) x (/.f64 x B)))) |
(-.f64 (fma.f64 B (*.f64 x -1/3) (/.f64 x B)) (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (*.f64 (*.f64 x 1/45) (pow.f64 B 3)))) |
(fma.f64 (pow.f64 B 5) (*.f64 x -2/945) (fma.f64 B (*.f64 x -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B)))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) |
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B)) |
(+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B)) |
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45))) 31/15120)) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B)) |
(fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) 31/15120) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))) |
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) |
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B)) |
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
Compiled 11313 to 4841 computations (57.2% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 512 | 17 | 529 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 513 | 18 | 531 |
| Status | Error | Program |
|---|---|---|
| 20.2b | (-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B))) | |
| ✓ | 0.1b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 23.4b | (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) | |
| 0.8b | (-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B))) | |
| 27.0b | (/.f64 1 (sin.f64 B)) | |
| 15.0b | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 0.2b | (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B))) | |
| 17.4b | (+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) | |
| ▶ | 36.2b | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B))) |
| 36.2b | (-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B))) | |
| 0.2b | (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) | |
| ▶ | 0.2b | (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
| 33.1b | (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) | |
| ▶ | 23.3b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
| 33.6b | (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) | |
| ▶ | 36.8b | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
| ▶ | 33.2b | (/.f64 (-.f64 1 x) B) |
| 36.8b | (*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
Compiled 475 to 338 computations (28.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
| ✓ | 0.1b | (/.f64 x (sin.f64 B)) |
| 0.1b | (/.f64 1 (sin.f64 B)) | |
| ✓ | 0.2b | (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
Compiled 36 to 12 computations (66.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
| 2.0ms | B | @ | 0 | (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
| 2.0ms | B | @ | -inf | (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
| 1.0ms | B | @ | inf | (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
| 1.0ms | B | @ | -inf | (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
| 1× | batch-egg-rewrite |
| 810× | prod-diff_binary64 |
| 555× | log-prod_binary64 |
| 285× | pow2_binary64 |
| 241× | fma-def_binary64 |
| 199× | egg-rr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 216 | 31 |
| 2 | 3030 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(/.f64 x (sin.f64 B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
| Outputs |
|---|
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fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 B))) (*.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) 1) (cos.f64 B) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (pow.f64 (cbrt.f64 (cos.f64 B)) 2)) (cbrt.f64 (cos.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (sqrt.f64 (cos.f64 B))) (sqrt.f64 (cos.f64 B)) (/.f64 1 (sin.f64 B))))))) |
| 1× | egg-herbie |
| 552× | fma-neg_binary64 |
| 516× | fma-def_binary64 |
| 464× | cancel-sign-sub-inv_binary64 |
| 369× | unsub-neg_binary64 |
| 346× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 978 |
| 1 | 274 | 904 |
| 2 | 982 | 836 |
| 3 | 4784 | 818 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 x B) |
(+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) |
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))) |
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5)) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 x B) |
(+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) |
(+.f64 (*.f64 1/6 (*.f64 B x)) (+.f64 (/.f64 x B) (*.f64 -1 (*.f64 (pow.f64 B 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 B 5) (+.f64 (*.f64 1/720 x) (+.f64 (*.f64 -1/5040 x) (*.f64 1/6 (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))))))) (+.f64 (*.f64 1/6 (*.f64 B x)) (+.f64 (/.f64 x B) (*.f64 -1 (*.f64 (pow.f64 B 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))))))) |
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (+.f64 (*.f64 (-.f64 (+.f64 7/360 (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 31/15120 (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (*.f64 -1/720 x)) (pow.f64 B 5)) (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (+.f64 (*.f64 (-.f64 (+.f64 7/360 (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
| Outputs |
|---|
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
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(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 x) B) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 x) B) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) B) |
| 1.0ms | B | @ | inf | (/.f64 (-.f64 1 x) B) |
| 1.0ms | B | @ | 0 | (/.f64 (-.f64 1 x) B) |
| 1.0ms | B | @ | -inf | (/.f64 (-.f64 1 x) B) |
| 1× | batch-egg-rewrite |
| 756× | pow1_binary64 |
| 706× | add-log-exp_binary64 |
| 706× | log1p-expm1-u_binary64 |
| 706× | expm1-log1p-u_binary64 |
| 692× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 130 | 7 |
| 2 | 1797 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) B) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 B) (/.f64 x B))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 B) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (-.f64 1 x) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) B))))))) |
| 1× | egg-herbie |
| 202× | fma-def_binary64 |
| 125× | fma-neg_binary64 |
| 44× | cancel-sign-sub-inv_binary64 |
| 31× | distribute-rgt-in_binary64 |
| 26× | unsub-neg_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 115 |
| 1 | 17 | 106 |
| 2 | 25 | 106 |
| 3 | 35 | 106 |
| 4 | 48 | 106 |
| 5 | 74 | 106 |
| 6 | 130 | 106 |
| 7 | 253 | 106 |
| 8 | 494 | 79 |
| 9 | 732 | 79 |
| 10 | 829 | 79 |
| 11 | 895 | 79 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(*.f64 -1 (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(*.f64 -1 (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
| Outputs |
|---|
(/.f64 1 B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
| 0.1b | (/.f64 x (tan.f64 B)) | |
| ✓ | 0.4b | (*.f64 1/6 B) |
Compiled 37 to 21 computations (43.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
| 1.0ms | B | @ | 0 | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
| 1.0ms | B | @ | -inf | (*.f64 1/6 B) |
| 1.0ms | B | @ | inf | (*.f64 1/6 B) |
| 1.0ms | x | @ | -inf | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
| 1× | batch-egg-rewrite |
| 601× | log-prod_binary64 |
| 560× | fma-def_binary64 |
| 334× | pow2_binary64 |
| 317× | fma-neg_binary64 |
| 228× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 251 | 20 |
| 2 | 3748 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 B) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) B)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) B))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 B B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 B)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 B) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 B) (*.f64 (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (-.f64 (*.f64 1/6 B) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 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| 1× | egg-herbie |
| 516× | cancel-sign-sub-inv_binary64 |
| 500× | *-commutative_binary64 |
| 443× | associate--l+_binary64 |
| 364× | associate--r+_binary64 |
| 361× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 469 |
| 1 | 139 | 441 |
| 2 | 359 | 437 |
| 3 | 1516 | 433 |
| 4 | 3320 | 433 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B)) |
(*.f64 1/6 B) |
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(*.f64 1/6 B) |
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
| Outputs |
|---|
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (/.f64 1 B))) (/.f64 x B)) |
(fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))) |
(fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B)) |
(-.f64 (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (fma.f64 17/315 x (fma.f64 -1/3 (*.f64 x 1/45) (*.f64 x -2/45))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B)) |
(fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (fma.f64 x 17/315 (fma.f64 x -2/45 (*.f64 x -1/135))) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B))) |
(+.f64 (fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))) (*.f64 (fma.f64 x 17/315 (*.f64 x -7/135)) (pow.f64 B 5))) |
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (*.f64 x 2/945) (pow.f64 B 5))))) |
(*.f64 1/6 B) |
(*.f64 B 1/6) |
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(fma.f64 1/6 B (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (*.f64 B 1/6) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (*.f64 B 1/6) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
(*.f64 1/6 B) |
(*.f64 B 1/6) |
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(fma.f64 1/6 B (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (*.f64 B 1/6) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (*.f64 B 1/6) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(fma.f64 1/6 B (/.f64 1 B)) |
(fma.f64 B 1/6 (/.f64 1 B)) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)) |
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (neg.f64 x))) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)) |
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (neg.f64 x))) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) |
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 x (sin.f64 B)) | |
| ✓ | 0.2b | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
Compiled 23 to 7 computations (69.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | B | @ | 0 | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
| 1.0ms | B | @ | inf | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
| 1.0ms | B | @ | -inf | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
| 1× | batch-egg-rewrite |
| 811× | pow1_binary64 |
| 747× | add-log-exp_binary64 |
| 746× | log1p-expm1-u_binary64 |
| 746× | expm1-log1p-u_binary64 |
| 730× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 169 | 11 |
| 2 | 2315 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (cos.f64 B)) 1) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (cos.f64 B)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (cos.f64 B)) (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 B)) (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sin.f64 B)) 3) (pow.f64 (cos.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 x (sin.f64 B)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))))) |
| 1× | egg-herbie |
| 889× | fma-neg_binary64 |
| 687× | cancel-sign-sub-inv_binary64 |
| 580× | associate-*r*_binary64 |
| 508× | distribute-rgt-in_binary64 |
| 464× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 412 |
| 1 | 145 | 378 |
| 2 | 483 | 352 |
| 3 | 2219 | 346 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5))) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(fma.f64 -1 (/.f64 x B) (neg.f64 (*.f64 B (*.f64 x -1/3)))) |
(-.f64 (*.f64 (*.f64 x -1/3) (neg.f64 B)) (/.f64 x B)) |
(-.f64 (*.f64 (*.f64 B x) 1/3) (/.f64 x B)) |
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))) |
(fma.f64 -1 (/.f64 x B) (fma.f64 -1 (*.f64 B (*.f64 x -1/3)) (neg.f64 (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3))))) |
(-.f64 (neg.f64 (fma.f64 B (*.f64 x -1/3) (*.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3)))) (/.f64 x B)) |
(-.f64 (*.f64 (*.f64 x -1/45) (neg.f64 (pow.f64 B 3))) (fma.f64 B (*.f64 x -1/3) (/.f64 x B))) |
(-.f64 (fma.f64 (pow.f64 B 3) (*.f64 x 1/45) (*.f64 B (*.f64 x 1/3))) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5))) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))) |
(fma.f64 -1 (/.f64 x B) (fma.f64 -1 (*.f64 B (*.f64 x -1/3)) (fma.f64 -1 (*.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (fma.f64 -1/5040 x (*.f64 (*.f64 x -1/3) 1/120)))) (pow.f64 B 5)) (neg.f64 (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3)))))) |
(-.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (fma.f64 x -1/5040 (*.f64 x -1/360)))) (pow.f64 B 5) (*.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3)))) (*.f64 B (*.f64 x -1/3))) (/.f64 x B)) |
(-.f64 (-.f64 (*.f64 (*.f64 B x) 1/3) (/.f64 x B)) (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (*.f64 x -1/45) (*.f64 x -1/336))) (pow.f64 B 5) (*.f64 (*.f64 x -1/45) (pow.f64 B 3)))) |
(fma.f64 (pow.f64 B 5) (+.f64 (neg.f64 (*.f64 x 1/630)) (*.f64 (*.f64 x -1/6) -1/45)) (-.f64 (fma.f64 (pow.f64 B 3) (*.f64 x 1/45) (*.f64 B (*.f64 x 1/3))) (/.f64 x B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B))) |
| ✓ | 0.0b | (sqrt.f64 (sin.f64 B)) |
| 0.1b | (/.f64 x (tan.f64 B)) | |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (sin.f64 B)) -2) |
Compiled 31 to 12 computations (61.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | B | @ | 0 | (pow.f64 (sqrt.f64 (sin.f64 B)) -2) |
| 2.0ms | B | @ | inf | (pow.f64 (sqrt.f64 (sin.f64 B)) -2) |
| 2.0ms | B | @ | -inf | (pow.f64 (sqrt.f64 (sin.f64 B)) -2) |
| 1.0ms | B | @ | 0 | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B))) |
| 1.0ms | x | @ | 0 | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B))) |
| 1× | batch-egg-rewrite |
| 665× | prod-diff_binary64 |
| 521× | log-prod_binary64 |
| 293× | pow2_binary64 |
| 228× | fma-def_binary64 |
| 200× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 224 | 25 |
| 2 | 3006 | 25 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (sin.f64 B)) -2) |
(sqrt.f64 (sin.f64 B)) |
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B))) |
| Outputs |
|---|
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(neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (sin.f64 B) -2))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (sin.f64 B) -2))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 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(sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (pow.f64 (cbrt.f64 (sin.f64 B)) -1) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (pow.f64 (cbrt.f64 (sin.f64 B)) -1) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B))))))) |
| 1× | egg-herbie |
| 593× | fma-def_binary64 |
| 243× | fma-neg_binary64 |
| 79× | associate-/l*_binary64 |
| 76× | distribute-rgt-in_binary64 |
| 74× | cancel-sign-sub-inv_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 403 |
| 1 | 24 | 403 |
| 2 | 45 | 403 |
| 3 | 84 | 403 |
| 4 | 145 | 403 |
| 5 | 226 | 403 |
| 6 | 341 | 369 |
| 7 | 612 | 335 |
| 8 | 1113 | 318 |
| 9 | 1664 | 318 |
| 10 | 1876 | 318 |
| 11 | 2017 | 318 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
| Outputs |
|---|
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x))) |
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1)) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
Compiled 22785 to 9405 computations (58.7% saved)
30 alts after pruning (25 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 949 | 18 | 967 |
| Fresh | 5 | 7 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 955 | 30 | 985 |
| Status | Error | Program |
|---|---|---|
| ▶ | 61.9b | (*.f64 B 1/6) |
| 23.4b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) | |
| ▶ | 0.2b | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 0.2b | (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) | |
| 33.5b | (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B)) | |
| 53.1b | (+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) | |
| 53.2b | (*.f64 (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) (neg.f64 (cos.f64 B))) | |
| ✓ | 0.2b | (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
| ▶ | 42.7b | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B)) |
| 33.1b | (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) | |
| 33.3b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) | |
| 20.2b | (-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B))) | |
| ✓ | 0.1b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 33.2b | (-.f64 (/.f64 1 B) (/.f64 x B)) | |
| 33.2b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) | |
| 33.2b | (*.f64 (/.f64 1 B) (-.f64 1 x)) | |
| ✓ | 33.2b | (/.f64 (-.f64 1 x) B) |
| 0.8b | (-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B))) | |
| 27.0b | (/.f64 1 (sin.f64 B)) | |
| 36.8b | (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) | |
| 15.0b | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 0.2b | (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B))) | |
| ▶ | 33.2b | (pow.f64 (/.f64 B (-.f64 1 x)) -1) |
| 36.2b | (-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B))) | |
| ▶ | 53.1b | (-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
| ✓ | 23.3b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
| 53.4b | (/.f64 (neg.f64 x) B) | |
| 42.6b | (+.f64 (*.f64 1/6 B) (/.f64 1 B)) | |
| ✓ | 36.8b | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
| 42.8b | (/.f64 1 B) |
Compiled 672 to 479 computations (28.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (cos.f64 B) x) |
| ✓ | 0.2b | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
Compiled 28 to 11 computations (60.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | B | @ | 0 | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 1.0ms | B | @ | inf | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 1.0ms | B | @ | -inf | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 1× | batch-egg-rewrite |
| 535× | prod-diff_binary64 |
| 496× | log-prod_binary64 |
| 385× | exp-prod_binary64 |
| 273× | pow-prod-down_binary64 |
| 257× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 191 | 20 |
| 2 | 2591 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (cos.f64 B) x) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (cos.f64 B) x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 B) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (cos.f64 B) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (cos.f64 B) x)))) (sqrt.f64 (log.f64 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 B) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 B) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 B) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 B) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 B) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 B) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 B) x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (cos.f64 B) x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 B) x 1)) 2) (cbrt.f64 (fma.f64 (cos.f64 B) x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (cos.f64 B) x 1)) (sqrt.f64 (fma.f64 (cos.f64 B) x 1)) -1))))) |
| 1× | egg-herbie |
| 566× | sub-neg_binary64 |
| 411× | distribute-rgt-in_binary64 |
| 398× | unsub-neg_binary64 |
| 371× | distribute-lft-in_binary64 |
| 326× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 506 |
| 1 | 184 | 468 |
| 2 | 539 | 458 |
| 3 | 2293 | 395 |
| 4 | 6127 | 395 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 (*.f64 1/720 x) (+.f64 (*.f64 1/120 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x))))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B)) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x))) |
| Outputs |
|---|
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 B (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x)))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B)) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) B (/.f64 1 B))) (/.f64 x B)) |
(fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B))) |
(fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 (-.f64 1 x) 1/120 (+.f64 (*.f64 (-.f64 1 x) -1/36) (*.f64 x -1/12)))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x))) (/.f64 (-.f64 1 x) B))) |
(fma.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) (pow.f64 B 3) (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 (*.f64 1/720 x) (+.f64 (*.f64 1/120 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x))))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B)) |
(-.f64 (fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) B (fma.f64 (-.f64 (*.f64 x 1/720) (fma.f64 1/120 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (fma.f64 -1/6 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (*.f64 (-.f64 1 x) -1/5040)))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B)) |
(fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (+.f64 (fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 (*.f64 x 1/720) (fma.f64 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) 1/120 (fma.f64 (-.f64 1 x) -1/5040 (*.f64 -1/6 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 1 x) 1/120))))))) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B))) |
(+.f64 (fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 (-.f64 1 x) 1/120 (+.f64 (*.f64 (-.f64 1 x) -1/36) (*.f64 x -1/12)))) (pow.f64 B 3) (fma.f64 (-.f64 (*.f64 x 1/720) (fma.f64 -1/6 (-.f64 (*.f64 x -1/24) (fma.f64 (-.f64 1 x) 1/120 (+.f64 (*.f64 (-.f64 1 x) -1/36) (*.f64 x -1/12)))) (fma.f64 (-.f64 1 x) -1/5040 (+.f64 (*.f64 x 1/240) (*.f64 (-.f64 1 x) 1/720))))) (pow.f64 B 5) (*.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x)))))) (/.f64 (-.f64 1 x) B)) |
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) (pow.f64 B 3) (fma.f64 (+.f64 (-.f64 (*.f64 x -1/360) (*.f64 (-.f64 1 x) 1/840)) (*.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) 1/6)) (pow.f64 B 5) (*.f64 B (+.f64 1/6 (*.f64 x 1/3)))))) |
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) (pow.f64 B 3) (fma.f64 (+.f64 (+.f64 (*.f64 x -1/360) (*.f64 (+.f64 x -1) 1/840)) (*.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) 1/6)) (pow.f64 B 5) (*.f64 B (+.f64 1/6 (*.f64 x 1/3)))))) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
x |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x) |
(fma.f64 -1/2 (*.f64 x (*.f64 B B)) x) |
(*.f64 x (fma.f64 -1/2 (*.f64 B B) 1)) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)) |
(fma.f64 1/24 (*.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (*.f64 x (*.f64 B B)) x)) |
(fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (*.f64 -1/2 (*.f64 B B))) x) |
(fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (*.f64 B (*.f64 B -1/2))) x) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x))) |
(fma.f64 -1/720 (*.f64 x (pow.f64 B 6)) (fma.f64 1/24 (*.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (*.f64 x (*.f64 B B)) x))) |
(fma.f64 x (*.f64 -1/720 (pow.f64 B 6)) (fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (*.f64 -1/2 (*.f64 B B))) x)) |
(*.f64 x (+.f64 (fma.f64 -1/2 (*.f64 B B) 1) (fma.f64 -1/720 (pow.f64 B 6) (*.f64 1/24 (pow.f64 B 4))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 B 1/6) |
Compiled 7 to 5 computations (28.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | B | @ | 0 | (*.f64 B 1/6) |
| 0.0ms | B | @ | -inf | (*.f64 B 1/6) |
| 0.0ms | B | @ | inf | (*.f64 B 1/6) |
| 1× | batch-egg-rewrite |
| 345× | pow1_binary64 |
| 338× | add-sqr-sqrt_binary64 |
| 329× | *-un-lft-identity_binary64 |
| 321× | add-log-exp_binary64 |
| 321× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 80 | 4 |
| 2 | 873 | 4 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 B 1/6) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 B 1/6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 B 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 B) 1/12)) (log.f64 (pow.f64 (exp.f64 B) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 B)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 B 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 B 1/6)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 B 1/6)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 B 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 B 1/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 B 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 B 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 B 1/6)))) (sqrt.f64 (log.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 B 1/6))) 2)) (cbrt.f64 (log.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 B 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 B 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 B 1/6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 B 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 B 1/6))) 2)))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 5 | 48 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
| Outputs |
|---|
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
(*.f64 1/6 B) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
| ✓ | 0.2b | (*.f64 B (*.f64 x 1/3)) |
| ✓ | 0.4b | (*.f64 x 1/3) |
Compiled 25 to 13 computations (48% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 B (*.f64 x 1/3)) |
| 1.0ms | B | @ | inf | (*.f64 B (*.f64 x 1/3)) |
| 1.0ms | B | @ | 0 | (*.f64 B (*.f64 x 1/3)) |
| 1.0ms | x | @ | inf | (*.f64 B (*.f64 x 1/3)) |
| 1.0ms | x | @ | 0 | (*.f64 x 1/3) |
| 1× | batch-egg-rewrite |
| 489× | log-prod_binary64 |
| 367× | prod-exp_binary64 |
| 358× | exp-prod_binary64 |
| 315× | pow-prod-down_binary64 |
| 302× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 180 | 24 |
| 2 | 2556 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x 1/3) |
(*.f64 B (*.f64 x 1/3)) |
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 1/3)))) (sqrt.f64 (log.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 1/3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) B)) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) B))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 1/3 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/3 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 1/3 B)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x B) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 1/3 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 1/3 B)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 1/3 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 1/3 B))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 1/3 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 1/3 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 1/3 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x B) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/3 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/3 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 1/3 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 1/3 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 B)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 1/3 B)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 1/3 B))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 1/3 B))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1) (log.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x 1/3)) (*.f64 (log.f64 B) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1) (*.f64 (log.f64 B) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 B) 1) (log.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 B) (*.f64 (log.f64 (*.f64 x 1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 B) 1) (*.f64 (log.f64 (*.f64 x 1/3)) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/3 B)) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/3 B)) (*.f64 (neg.f64 (/.f64 x B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)) (fma.f64 (neg.f64 (/.f64 x B)) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (pow.f64 (cbrt.f64 (/.f64 x B)) 2) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x B)) (*.f64 x (*.f64 1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))) 2) (cbrt.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))) (sqrt.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x B) 3) 1/27) (pow.f64 (/.f64 x B) 3)) (/.f64 1 (fma.f64 (/.f64 x B) (fma.f64 x (*.f64 1/3 B) (/.f64 x B)) (pow.f64 (*.f64 x (*.f64 1/3 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 1/3 B)) 2) (pow.f64 (/.f64 x B) 2)) (/.f64 1 (fma.f64 x (*.f64 1/3 B) (/.f64 x B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 x B) (fma.f64 x (*.f64 1/3 B) (/.f64 x B)) (pow.f64 (*.f64 x (*.f64 1/3 B)) 2)) (-.f64 (*.f64 (pow.f64 (*.f64 x B) 3) 1/27) (pow.f64 (/.f64 x B) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 1/3 B) (/.f64 x 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egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (/.f64 x B))) (sqrt.f64 (neg.f64 (/.f64 x B))) (*.f64 x (*.f64 1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x B))) (sqrt.f64 (/.f64 x B)) (*.f64 x (*.f64 1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x B) (*.f64 x (*.f64 1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 x B)) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (pow.f64 (cbrt.f64 (/.f64 x B)) 2) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x B)) 2)) (cbrt.f64 (/.f64 x B)) (*.f64 x (*.f64 1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (*.f64 (neg.f64 (/.f64 x B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/3) (sqrt.f64 B)) (sqrt.f64 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/3) (sqrt.f64 B)) (sqrt.f64 B) (*.f64 (neg.f64 (/.f64 x B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B 1/3) x (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B 1/3) x (*.f64 (neg.f64 (/.f64 x B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x 1/3)) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x 1/3)) (*.f64 (neg.f64 (/.f64 x B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B (sqrt.f64 (*.f64 x 1/3))) (sqrt.f64 (*.f64 x 1/3)) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B (sqrt.f64 (*.f64 x 1/3))) (sqrt.f64 (*.f64 x 1/3)) (*.f64 (neg.f64 (/.f64 x B)) 1)))))) |
| 1× | egg-herbie |
| 702× | fma-def_binary64 |
| 656× | fma-neg_binary64 |
| 461× | div-sub_binary64 |
| 417× | associate-/l*_binary64 |
| 286× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 530 |
| 1 | 48 | 509 |
| 2 | 97 | 467 |
| 3 | 232 | 467 |
| 4 | 409 | 467 |
| 5 | 676 | 467 |
| 6 | 1131 | 467 |
| 7 | 1721 | 467 |
| 8 | 2510 | 467 |
| 9 | 3322 | 467 |
| 10 | 3710 | 467 |
| 11 | 3872 | 467 |
| 12 | 3902 | 467 |
| 13 | 3910 | 467 |
| 14 | 3976 | 467 |
| 15 | 4401 | 467 |
| 16 | 4483 | 467 |
| 17 | 4485 | 467 |
| 18 | 4487 | 467 |
| 19 | 4497 | 467 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 1/3 (*.f64 B x)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 1/3 (*.f64 B x)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
| Outputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 1/3 (*.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(/.f64 x (neg.f64 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B)) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 B (-.f64 1 x)) |
| ✓ | 0.1b | (pow.f64 (/.f64 B (-.f64 1 x)) -1) |
Compiled 21 to 14 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 B (-.f64 1 x)) -1) |
| 1.0ms | B | @ | 0 | (pow.f64 (/.f64 B (-.f64 1 x)) -1) |
| 1.0ms | B | @ | inf | (pow.f64 (/.f64 B (-.f64 1 x)) -1) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 B (-.f64 1 x)) -1) |
| 1.0ms | x | @ | -inf | (pow.f64 (/.f64 B (-.f64 1 x)) -1) |
| 1× | batch-egg-rewrite |
| 864× | pow1_binary64 |
| 809× | add-log-exp_binary64 |
| 807× | log1p-expm1-u_binary64 |
| 807× | expm1-log1p-u_binary64 |
| 792× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 170 | 14 |
| 2 | 2176 | 14 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 B (-.f64 1 x)) -1) |
(/.f64 B (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 B) (/.f64 x B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 B -1) (pow.f64 (/.f64 1 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 B (-.f64 1 x))) -1) (pow.f64 (sqrt.f64 (/.f64 B (-.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (-.f64 1 x) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 B)) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 B) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 B)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 B (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 B (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 B (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 B (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (neg.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 B (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (*.f64 B (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (sqrt.f64 B)) (sqrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) 1) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) 2)) (cbrt.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 B (-.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) B))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 B (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 B (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 B (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 B (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 B) 2) (*.f64 (cbrt.f64 B) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) 2) (cbrt.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 B) (*.f64 (sqrt.f64 B) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 B (-.f64 1 x))) (sqrt.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 B) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) B)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) 1) (/.f64 (cbrt.f64 B) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 B) 1) (/.f64 (sqrt.f64 B) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 B (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 B) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 B) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 B (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 B) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 B (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 B (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 B (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 B (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 B (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 B (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 B (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 B 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 B (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 703× | associate-/l*_binary64 |
| 508× | fma-def_binary64 |
| 428× | distribute-lft-out_binary64 |
| 384× | sub-neg_binary64 |
| 367× | associate-*r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 368 |
| 1 | 119 | 356 |
| 2 | 313 | 340 |
| 3 | 975 | 322 |
| 4 | 4080 | 316 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 1 B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(*.f64 -1 (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(*.f64 -1 (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
B |
(+.f64 (*.f64 B x) B) |
(+.f64 (*.f64 B x) (+.f64 (*.f64 B (pow.f64 x 2)) B)) |
(+.f64 (*.f64 B x) (+.f64 (*.f64 B (pow.f64 x 2)) (+.f64 (*.f64 B (pow.f64 x 3)) B))) |
(*.f64 -1 (/.f64 B x)) |
(+.f64 (*.f64 -1 (/.f64 B x)) (*.f64 -1 (/.f64 B (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (*.f64 -1 (/.f64 B (pow.f64 x 3))))) |
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 4))) (*.f64 -1 (/.f64 B (pow.f64 x 3)))))) |
(*.f64 -1 (/.f64 B x)) |
(+.f64 (*.f64 -1 (/.f64 B x)) (*.f64 -1 (/.f64 B (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (*.f64 -1 (/.f64 B (pow.f64 x 3))))) |
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 4))) (*.f64 -1 (/.f64 B (pow.f64 x 3)))))) |
| Outputs |
|---|
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 (-.f64 1 x) B) |
(/.f64 1 B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
B |
(+.f64 (*.f64 B x) B) |
(fma.f64 B x B) |
(fma.f64 x B B) |
(+.f64 (*.f64 B x) (+.f64 (*.f64 B (pow.f64 x 2)) B)) |
(fma.f64 B x (fma.f64 B (*.f64 x x) B)) |
(fma.f64 x B (fma.f64 B (*.f64 x x) B)) |
(*.f64 B (+.f64 (fma.f64 x x 1) x)) |
(fma.f64 x (fma.f64 x B B) B) |
(+.f64 (*.f64 B x) (+.f64 (*.f64 B (pow.f64 x 2)) (+.f64 (*.f64 B (pow.f64 x 3)) B))) |
(fma.f64 B x (fma.f64 B (*.f64 x x) (fma.f64 B (pow.f64 x 3) B))) |
(fma.f64 x B (fma.f64 B (*.f64 x x) (fma.f64 B (pow.f64 x 3) B))) |
(fma.f64 x B (fma.f64 B (fma.f64 x x (pow.f64 x 3)) B)) |
(*.f64 (fma.f64 x x 1) (fma.f64 x B B)) |
(*.f64 -1 (/.f64 B x)) |
(neg.f64 (/.f64 B x)) |
(/.f64 (neg.f64 B) x) |
(+.f64 (*.f64 -1 (/.f64 B x)) (*.f64 -1 (/.f64 B (pow.f64 x 2)))) |
(fma.f64 -1 (/.f64 B x) (neg.f64 (/.f64 B (*.f64 x x)))) |
(-.f64 (neg.f64 (/.f64 B x)) (/.f64 (/.f64 B x) x)) |
(*.f64 (/.f64 B x) (+.f64 -1 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (*.f64 -1 (/.f64 B (pow.f64 x 3))))) |
(fma.f64 -1 (/.f64 B x) (*.f64 -1 (+.f64 (/.f64 B (*.f64 x x)) (/.f64 B (pow.f64 x 3))))) |
(-.f64 (-.f64 (neg.f64 (/.f64 B x)) (/.f64 (/.f64 B x) x)) (/.f64 B (pow.f64 x 3))) |
(-.f64 (*.f64 (/.f64 B (*.f64 x x)) (+.f64 -1 (/.f64 -1 x))) (/.f64 B x)) |
(*.f64 (/.f64 B x) (+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (*.f64 (/.f64 (/.f64 B x) x) (+.f64 -1 (/.f64 -1 x))) (/.f64 B x)) |
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 4))) (*.f64 -1 (/.f64 B (pow.f64 x 3)))))) |
(fma.f64 -1 (/.f64 B x) (fma.f64 -1 (/.f64 B (*.f64 x x)) (fma.f64 -1 (/.f64 B (pow.f64 x 4)) (neg.f64 (/.f64 B (pow.f64 x 3)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 B) (pow.f64 x 3)) (/.f64 B (pow.f64 x 4))) (/.f64 (/.f64 B x) x)) (/.f64 B x)) |
(-.f64 (-.f64 (*.f64 (/.f64 B (*.f64 x x)) (+.f64 -1 (/.f64 -1 x))) (/.f64 B x)) (/.f64 B (pow.f64 x 4))) |
(*.f64 (+.f64 (/.f64 B x) (/.f64 B (*.f64 x x))) (+.f64 -1 (/.f64 -1 (*.f64 x x)))) |
(*.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (+.f64 B (/.f64 B x))) |
(*.f64 -1 (/.f64 B x)) |
(neg.f64 (/.f64 B x)) |
(/.f64 (neg.f64 B) x) |
(+.f64 (*.f64 -1 (/.f64 B x)) (*.f64 -1 (/.f64 B (pow.f64 x 2)))) |
(fma.f64 -1 (/.f64 B x) (neg.f64 (/.f64 B (*.f64 x x)))) |
(-.f64 (neg.f64 (/.f64 B x)) (/.f64 (/.f64 B x) x)) |
(*.f64 (/.f64 B x) (+.f64 -1 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (*.f64 -1 (/.f64 B (pow.f64 x 3))))) |
(fma.f64 -1 (/.f64 B x) (*.f64 -1 (+.f64 (/.f64 B (*.f64 x x)) (/.f64 B (pow.f64 x 3))))) |
(-.f64 (-.f64 (neg.f64 (/.f64 B x)) (/.f64 (/.f64 B x) x)) (/.f64 B (pow.f64 x 3))) |
(-.f64 (*.f64 (/.f64 B (*.f64 x x)) (+.f64 -1 (/.f64 -1 x))) (/.f64 B x)) |
(*.f64 (/.f64 B x) (+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (*.f64 (/.f64 (/.f64 B x) x) (+.f64 -1 (/.f64 -1 x))) (/.f64 B x)) |
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 4))) (*.f64 -1 (/.f64 B (pow.f64 x 3)))))) |
(fma.f64 -1 (/.f64 B x) (fma.f64 -1 (/.f64 B (*.f64 x x)) (fma.f64 -1 (/.f64 B (pow.f64 x 4)) (neg.f64 (/.f64 B (pow.f64 x 3)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 B) (pow.f64 x 3)) (/.f64 B (pow.f64 x 4))) (/.f64 (/.f64 B x) x)) (/.f64 B x)) |
(-.f64 (-.f64 (*.f64 (/.f64 B (*.f64 x x)) (+.f64 -1 (/.f64 -1 x))) (/.f64 B x)) (/.f64 B (pow.f64 x 4))) |
(*.f64 (+.f64 (/.f64 B x) (/.f64 B (*.f64 x x))) (+.f64 -1 (/.f64 -1 (*.f64 x x)))) |
(*.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (+.f64 B (/.f64 B x))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B)) |
| 0.0b | (sqrt.f64 (sin.f64 B)) | |
| 0.2b | (pow.f64 (sqrt.f64 (sin.f64 B)) -2) |
Compiled 27 to 11 computations (59.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | B | @ | 0 | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B)) |
| 1.0ms | B | @ | inf | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B)) |
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B)) |
| 1.0ms | B | @ | -inf | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B)) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B)) |
| 1× | batch-egg-rewrite |
| 657× | prod-diff_binary64 |
| 471× | log-prod_binary64 |
| 285× | pow-prod-down_binary64 |
| 264× | pow2_binary64 |
| 224× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 203 | 12 |
| 2 | 2745 | 12 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B)) |
| Outputs |
|---|
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(cbrt.f64 (sin.f64 B)) -1) (*.f64 (neg.f64 (/.f64 x B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 x B)) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (cbrt.f64 (pow.f64 (/.f64 B x) -2)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 92× | fma-def_binary64 |
| 92× | fma-neg_binary64 |
| 36× | cancel-sign-sub-inv_binary64 |
| 18× | unsub-neg_binary64 |
| 17× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 225 |
| 1 | 18 | 210 |
| 2 | 26 | 210 |
| 3 | 36 | 210 |
| 4 | 49 | 210 |
| 5 | 73 | 210 |
| 6 | 117 | 210 |
| 7 | 158 | 210 |
| 8 | 221 | 210 |
| 9 | 302 | 210 |
| 10 | 413 | 210 |
| 11 | 485 | 210 |
| 12 | 530 | 210 |
| 13 | 549 | 210 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 (sin.f64 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(*.f64 -1 (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(*.f64 -1 (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
| Outputs |
|---|
(/.f64 1 (sin.f64 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B))) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) |
Compiled 14263 to 6722 computations (52.9% saved)
38 alts after pruning (30 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 669 | 15 | 684 |
| Fresh | 5 | 15 | 20 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 7 | 9 |
| Total | 676 | 38 | 714 |
| Status | Error | Program |
|---|---|---|
| ✓ | 61.9b | (*.f64 B 1/6) |
| 23.4b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) | |
| 42.1b | (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))) 2) | |
| 0.2b | (*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 (cos.f64 B) x))) | |
| ✓ | 0.2b | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 0.2b | (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) | |
| ✓ | 53.1b | (-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
| ▶ | 53.1b | (-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
| 16.4b | (/.f64 (-.f64 1 x) (sin.f64 B)) | |
| 33.5b | (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B)) | |
| 53.1b | (+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) | |
| ▶ | 61.9b | (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3) |
| ✓ | 42.7b | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B)) |
| 33.1b | (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) | |
| 53.4b | (/.f64 (neg.f64 x) B) | |
| 33.3b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) | |
| ✓ | 0.1b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 33.2b | (-.f64 (/.f64 1 B) (/.f64 x B)) | |
| 33.2b | (*.f64 (/.f64 1 B) (-.f64 1 x)) | |
| 62.6b | (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1)) | |
| ✓ | 23.3b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
| 42.6b | (+.f64 (*.f64 1/6 B) (/.f64 1 B)) | |
| 33.2b | (/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x))) | |
| ✓ | 36.8b | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
| 62.5b | (expm1.f64 (log1p.f64 (*.f64 B 1/6))) | |
| 33.2b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) | |
| ✓ | 33.2b | (/.f64 (-.f64 1 x) B) |
| 27.0b | (/.f64 1 (sin.f64 B)) | |
| 36.8b | (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) | |
| 15.0b | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 53.1b | (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) | |
| ▶ | 62.3b | (fabs.f64 (*.f64 B 1/6)) |
| ▶ | 0.2b | (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B))) |
| 53.1b | (fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 B))) | |
| 36.2b | (-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B))) | |
| 33.2b | (/.f64 1 (/.f64 B (-.f64 1 x))) | |
| 37.5b | (-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B)) | |
| ▶ | 42.8b | (/.f64 1 B) |
Compiled 812 to 597 computations (26.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B))) |
| 0.1b | (/.f64 1 (sin.f64 B)) | |
| ✓ | 0.1b | (/.f64 (tan.f64 B) x) |
| ✓ | 0.3b | (/.f64 1 (/.f64 (tan.f64 B) x)) |
Compiled 42 to 19 computations (54.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | 0 | (/.f64 (tan.f64 B) x) |
| 1.0ms | B | @ | 0 | (/.f64 (tan.f64 B) x) |
| 1.0ms | B | @ | inf | (/.f64 (tan.f64 B) x) |
| 1.0ms | B | @ | -inf | (/.f64 (tan.f64 B) x) |
| 1.0ms | x | @ | -inf | (/.f64 (tan.f64 B) x) |
| 1× | batch-egg-rewrite |
| 547× | log-prod_binary64 |
| 365× | fma-def_binary64 |
| 339× | pow-prod-down_binary64 |
| 287× | pow2_binary64 |
| 240× | egg-rr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 242 | 26 |
| 2 | 3480 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (tan.f64 B) x)) |
(/.f64 (tan.f64 B) x) |
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2)) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2)) (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) -2) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) -2) (/.f64 x (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 B) -1/2) (/.f64 x (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))) (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2))) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (tan.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2))) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 1 (tan.f64 B))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (tan.f64 B)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 B) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 B) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 B) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 B) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 B) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2) (cbrt.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (tan.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) (*.f64 (cbrt.f64 (tan.f64 B)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (sqrt.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (neg.f64 (sqrt.f64 (/.f64 (tan.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 B)) (*.f64 (sqrt.f64 (tan.f64 B)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 B)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 B)) (/.f64 1 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(cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2))))))) |
| 1× | egg-herbie |
| 684× | sub-neg_binary64 |
| 520× | distribute-rgt-in_binary64 |
| 506× | distribute-lft-in_binary64 |
| 378× | fma-def_binary64 |
| 370× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 1082 |
| 1 | 214 | 1047 |
| 2 | 661 | 1027 |
| 3 | 3015 | 1025 |
| 4 | 7695 | 1025 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x B) |
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 B x) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (/.f64 B x)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 2/15 (/.f64 (pow.f64 B 5) x)) (/.f64 B x))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 17/315 (/.f64 (pow.f64 B 7) x))))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
| Outputs |
|---|
(/.f64 x B) |
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))) |
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 x B))) |
(fma.f64 (*.f64 B -1/3) x (/.f64 x B)) |
(fma.f64 B (*.f64 x -1/3) (/.f64 x B)) |
(fma.f64 x (*.f64 B -1/3) (/.f64 x B)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 x B)))) |
(-.f64 (fma.f64 (*.f64 B -1/3) x (/.f64 x B)) (*.f64 (*.f64 x 1/45) (pow.f64 B 3))) |
(fma.f64 x (*.f64 B -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))) |
(fma.f64 -1 (*.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 x B))))) |
(fma.f64 (neg.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105))) (pow.f64 B 5) (-.f64 (fma.f64 (*.f64 B -1/3) x (/.f64 x B)) (*.f64 (*.f64 x 1/45) (pow.f64 B 3)))) |
(-.f64 (fma.f64 B (*.f64 x -1/3) (/.f64 x B)) (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (*.f64 1/45 (*.f64 x (pow.f64 B 3))))) |
(fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (fma.f64 (pow.f64 B 5) (*.f64 x -2/945) (fma.f64 x (*.f64 B -1/3) (/.f64 x B)))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) |
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))) |
(/.f64 B x) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (/.f64 B x)) |
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (/.f64 B x)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 2/15 (/.f64 (pow.f64 B 5) x)) (/.f64 B x))) |
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (/.f64 B x))) |
(fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (/.f64 B x))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 17/315 (/.f64 (pow.f64 B 7) x))))) |
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (+.f64 (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (/.f64 B x)) (*.f64 17/315 (/.f64 (pow.f64 B 7) x)))) |
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 17/315 (/.f64 (pow.f64 B 7) x) (/.f64 B x)))) |
(fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 17/315 (/.f64 (pow.f64 B 7) x) (/.f64 B x)))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B)) |
(fma.f64 B (fma.f64 x 1/3 1/6) (+.f64 (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360)) (/.f64 (-.f64 1 x) B))) |
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B)) |
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45))) 31/15120)) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B)) |
(fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (+.f64 (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360)) (/.f64 (-.f64 1 x) B)))) |
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(/.f64 1 (sin.f64 B)) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
| ✓ | 0.4b | (*.f64 1/3 (*.f64 x B)) |
Compiled 25 to 10 computations (60% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 1/3 (*.f64 x B)) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
| 0.0ms | x | @ | inf | (*.f64 1/3 (*.f64 x B)) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
| 0.0ms | B | @ | 0 | (-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
| 1× | batch-egg-rewrite |
| 490× | log-prod_binary64 |
| 364× | exp-prod_binary64 |
| 360× | prod-exp_binary64 |
| 309× | pow-prod-down_binary64 |
| 297× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 180 | 20 |
| 2 | 2557 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 x B)) |
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
| Outputs |
|---|
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fma.f64 (*.f64 (*.f64 1/3 x) 1) B (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 x) 1) B (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 x) (sqrt.f64 B)) (sqrt.f64 B) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 x) (sqrt.f64 B)) (sqrt.f64 B) (*.f64 (/.f64 (neg.f64 x) B) 1)))))) |
| 1× | egg-herbie |
| 703× | fma-def_binary64 |
| 658× | fma-neg_binary64 |
| 461× | div-sub_binary64 |
| 411× | associate-/l*_binary64 |
| 286× | associate-/l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 377 |
| 1 | 44 | 335 |
| 2 | 96 | 335 |
| 3 | 236 | 335 |
| 4 | 413 | 335 |
| 5 | 680 | 335 |
| 6 | 1135 | 335 |
| 7 | 1724 | 335 |
| 8 | 2501 | 335 |
| 9 | 3305 | 335 |
| 10 | 3694 | 335 |
| 11 | 3856 | 335 |
| 12 | 3886 | 335 |
| 13 | 3894 | 335 |
| 14 | 3960 | 335 |
| 15 | 4387 | 335 |
| 16 | 4469 | 335 |
| 17 | 4471 | 335 |
| 18 | 4473 | 335 |
| 19 | 4483 | 335 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(*.f64 -1 (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 1/3 (*.f64 B x)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 1/3 (*.f64 B x)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(/.f64 x (neg.f64 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(*.f64 1/3 (*.f64 B x)) |
(*.f64 (*.f64 1/3 B) x) |
(*.f64 x (/.f64 B 3)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x))) |
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B))) |
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 B 1/6) |
Compiled 11 to 8 computations (27.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 B 1/6) | |
| ✓ | 0.5b | (cbrt.f64 (*.f64 B 1/6)) |
| ✓ | 0.8b | (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3) |
Compiled 18 to 14 computations (22.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | B | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3) |
| 2.0ms | B | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3) |
| 1.0ms | B | @ | inf | (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3) |
| 1.0ms | B | @ | -inf | (cbrt.f64 (*.f64 B 1/6)) |
| 1.0ms | B | @ | inf | (cbrt.f64 (*.f64 B 1/6)) |
| 1× | batch-egg-rewrite |
| 522× | pow1_binary64 |
| 516× | 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 | 7 | 10 |
| 1 | 149 | 10 |
| 2 | 1397 | 10 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3) |
(cbrt.f64 (*.f64 B 1/6)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 B 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 B 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 B (pow.f64 (cbrt.f64 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 B)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 B 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 B 1/6)) (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 B 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) (cbrt.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 B) (*.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 B) 2) (*.f64 (cbrt.f64 B) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 B 1/6) 1/6) (*.f64 (pow.f64 (*.f64 B 1/6) 1/6) (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 B) (*.f64 (sqrt.f64 B) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 B 1/6)) (sqrt.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) 2) 3) (cbrt.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 B 1/6) 1/6) 3) (pow.f64 (pow.f64 (*.f64 B 1/6) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (sqrt.f64 B)) (sqrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) 1) (cbrt.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) (cbrt.f64 B)) (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) (pow.f64 (*.f64 B 1/6) 1/6)) (pow.f64 (*.f64 B 1/6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 B B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 B) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 B 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 B 1/6))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 B 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 B 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/6) (cbrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) 2) (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 B) (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 B 1/6) 1/6) (pow.f64 (*.f64 B 1/6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 B 1/6)) 1/3) (pow.f64 (sqrt.f64 (*.f64 B 1/6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 B 1/6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 B 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 B 1/6) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 B 1/6)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 11547 to 5922 computations (48.7% saved)
40 alts after pruning (29 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 684 | 5 | 689 |
| Fresh | 1 | 24 | 25 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 11 | 12 |
| Total | 687 | 40 | 727 |
| Status | Error | Program |
|---|---|---|
| ✓ | 61.9b | (*.f64 B 1/6) |
| 23.4b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) | |
| 42.1b | (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))) 2) | |
| 0.2b | (*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 (cos.f64 B) x))) | |
| ✓ | 0.2b | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 0.2b | (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) | |
| 63.0b | (pow.f64 (pow.f64 (*.f64 B 1/6) 1/3) 3) | |
| 53.1b | (fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3))) | |
| 16.4b | (/.f64 (-.f64 1 x) (sin.f64 B)) | |
| 33.5b | (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B)) | |
| 53.1b | (+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) | |
| ✓ | 42.7b | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B)) |
| 33.1b | (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) | |
| 53.4b | (/.f64 (neg.f64 x) B) | |
| 33.3b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) | |
| ✓ | 0.1b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 33.2b | (-.f64 (/.f64 1 B) (/.f64 x B)) | |
| 33.2b | (*.f64 (/.f64 1 B) (-.f64 1 x)) | |
| 62.6b | (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1)) | |
| 61.9b | (*.f64 B (pow.f64 (cbrt.f64 1/6) 3)) | |
| ✓ | 23.3b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
| 53.1b | (-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B)) | |
| 37.5b | (-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B)) | |
| 42.6b | (+.f64 (*.f64 1/6 B) (/.f64 1 B)) | |
| 33.2b | (/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x))) | |
| ✓ | 36.8b | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
| 23.4b | (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) | |
| 62.5b | (expm1.f64 (log1p.f64 (*.f64 B 1/6))) | |
| 33.2b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) | |
| ✓ | 33.2b | (/.f64 (-.f64 1 x) B) |
| 27.0b | (/.f64 1 (sin.f64 B)) | |
| 36.8b | (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) | |
| 15.0b | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 53.1b | (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) | |
| ✓ | 62.3b | (fabs.f64 (*.f64 B 1/6)) |
| ✓ | 0.2b | (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B))) |
| 36.2b | (-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B))) | |
| ✓ | 53.1b | (-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
| 33.2b | (/.f64 1 (/.f64 B (-.f64 1 x))) | |
| ✓ | 42.8b | (/.f64 1 B) |
Compiled 472 to 348 computations (26.3% saved)
| Inputs |
|---|
(*.f64 B 1/6) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 1 x) B) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(/.f64 1 (/.f64 B (-.f64 1 x))) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B)) |
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1)) |
(fabs.f64 (*.f64 B 1/6)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 (-.f64 1 x) (sin.f64 B)) |
(pow.f64 (/.f64 B (-.f64 1 x)) -1) |
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3))) |
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) (neg.f64 (cos.f64 B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(expm1.f64 (log1p.f64 (*.f64 B 1/6))) |
(*.f64 B (pow.f64 (cbrt.f64 1/6) 3)) |
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3) |
(pow.f64 (pow.f64 (*.f64 B 1/6) 1/3) 3) |
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 (cos.f64 B) x))) |
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B)) |
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B)) |
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))) 2) |
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) |
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B))) |
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B))) |
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B))) |
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B))) |
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) |
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) |
| Outputs |
|---|
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
3 calls:
| 32.0ms | B |
| 31.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
| 28.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | B |
| 0.1b | 1 | x |
| 0.1b | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
Compiled 603 to 345 computations (42.8% saved)
| Inputs |
|---|
(*.f64 B 1/6) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 1 x) B) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(/.f64 1 (/.f64 B (-.f64 1 x))) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B)) |
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1)) |
(fabs.f64 (*.f64 B 1/6)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 (-.f64 1 x) (sin.f64 B)) |
(pow.f64 (/.f64 B (-.f64 1 x)) -1) |
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3))) |
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) (neg.f64 (cos.f64 B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(expm1.f64 (log1p.f64 (*.f64 B 1/6))) |
(*.f64 B (pow.f64 (cbrt.f64 1/6) 3)) |
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3) |
(pow.f64 (pow.f64 (*.f64 B 1/6) 1/3) 3) |
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
2 calls:
| 53.0ms | B |
| 25.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | B |
| 0.2b | 1 | x |
Compiled 437 to 273 computations (37.5% saved)
| Inputs |
|---|
(*.f64 B 1/6) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 1 x) B) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(/.f64 1 (/.f64 B (-.f64 1 x))) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B)) |
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1)) |
(fabs.f64 (*.f64 B 1/6)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 (-.f64 1 x) (sin.f64 B)) |
(pow.f64 (/.f64 B (-.f64 1 x)) -1) |
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3))) |
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) (neg.f64 (cos.f64 B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(expm1.f64 (log1p.f64 (*.f64 B 1/6))) |
(*.f64 B (pow.f64 (cbrt.f64 1/6) 3)) |
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3) |
(pow.f64 (pow.f64 (*.f64 B 1/6) 1/3) 3) |
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
| Outputs |
|---|
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) |
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
2 calls:
| 207.0ms | B |
| 61.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 11.0b | 8 | B |
| 1.1b | 3 | x |
Compiled 428 to 269 computations (37.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 0.4041165185948139 | 13908.809919163758 |
| 60.0ms | -7781121477.171834 | -1743565716.8814893 |
Compiled 19 to 15 computations (21.1% saved)
| Inputs |
|---|
(*.f64 B 1/6) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 1 x) B) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(/.f64 1 (/.f64 B (-.f64 1 x))) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B)) |
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1)) |
(fabs.f64 (*.f64 B 1/6)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 (-.f64 1 x) (sin.f64 B)) |
(pow.f64 (/.f64 B (-.f64 1 x)) -1) |
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3))) |
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) (neg.f64 (cos.f64 B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(expm1.f64 (log1p.f64 (*.f64 B 1/6))) |
(*.f64 B (pow.f64 (cbrt.f64 1/6) 3)) |
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3) |
(pow.f64 (pow.f64 (*.f64 B 1/6) 1/3) 3) |
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
| Outputs |
|---|
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) |
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
2 calls:
| 234.0ms | B |
| 87.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 11.0b | 8 | B |
| 1.1b | 3 | x |
Compiled 412 to 265 computations (35.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 106.0ms | 0.4041165185948139 | 13908.809919163758 |
| 105.0ms | -7781121477.171834 | -1743565716.8814893 |
Compiled 19 to 15 computations (21.1% saved)
| Inputs |
|---|
(*.f64 B 1/6) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 1 x) B) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(/.f64 1 (/.f64 B (-.f64 1 x))) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B)) |
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1)) |
(fabs.f64 (*.f64 B 1/6)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 (-.f64 1 x) (sin.f64 B)) |
(pow.f64 (/.f64 B (-.f64 1 x)) -1) |
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3))) |
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) (neg.f64 (cos.f64 B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(expm1.f64 (log1p.f64 (*.f64 B 1/6))) |
(*.f64 B (pow.f64 (cbrt.f64 1/6) 3)) |
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3) |
(pow.f64 (pow.f64 (*.f64 B 1/6) 1/3) 3) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (-.f64 1 x) (sin.f64 B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
2 calls:
| 157.0ms | B |
| 131.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.6b | 3 | B |
| 7.3b | 3 | x |
Compiled 404 to 262 computations (35.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 3.966673038159804e+113 | 7.904098468574747e+113 |
| 30.0ms | -1.4366068250122445e+86 | -6.106329499059699e+84 |
Compiled 67 to 51 computations (23.9% saved)
| Inputs |
|---|
(*.f64 B 1/6) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 1 x) B) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(/.f64 1 (/.f64 B (-.f64 1 x))) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B)) |
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1)) |
(fabs.f64 (*.f64 B 1/6)) |
(/.f64 1 (sin.f64 B)) |
(/.f64 (-.f64 1 x) (sin.f64 B)) |
(pow.f64 (/.f64 B (-.f64 1 x)) -1) |
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3))) |
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) |
| Outputs |
|---|
(/.f64 (-.f64 1 x) (sin.f64 B)) |
2 calls:
| 52.0ms | x |
| 17.0ms | B |
| Error | Segments | Branch |
|---|---|---|
| 16.4b | 1 | B |
| 16.4b | 1 | x |
Compiled 255 to 161 computations (36.9% saved)
| Inputs |
|---|
(*.f64 B 1/6) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 1 x) B) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(/.f64 1 (/.f64 B (-.f64 1 x))) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B)) |
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1)) |
(fabs.f64 (*.f64 B 1/6)) |
(/.f64 1 (sin.f64 B)) |
| Outputs |
|---|
(/.f64 1 (sin.f64 B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(/.f64 1 (sin.f64 B)) |
2 calls:
| 54.0ms | x |
| 36.0ms | B |
| Error | Segments | Branch |
|---|---|---|
| 17.2b | 3 | B |
| 17.5b | 3 | x |
Compiled 209 to 134 computations (35.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 0.00866324485453329 | 3986176.0187035566 |
| 39.0ms | -178431796656.61 | -203.54215402637342 |
Compiled 19 to 15 computations (21.1% saved)
| Inputs |
|---|
(*.f64 B 1/6) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 1 x) B) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(/.f64 1 (/.f64 B (-.f64 1 x))) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B)) |
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1)) |
(fabs.f64 (*.f64 B 1/6)) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
2 calls:
| 12.0ms | B |
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 33.1b | 1 | B |
| 33.1b | 1 | x |
Compiled 205 to 131 computations (36.1% saved)
| Inputs |
|---|
(*.f64 B 1/6) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 1 x) B) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(/.f64 1 (/.f64 B (-.f64 1 x))) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B)) |
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B)) |
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x))) |
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) |
| Outputs |
|---|
(-.f64 (/.f64 1 B) (/.f64 x B)) |
2 calls:
| 46.0ms | x |
| 15.0ms | B |
| Error | Segments | Branch |
|---|---|---|
| 33.2b | 1 | B |
| 33.2b | 1 | x |
Compiled 116 to 71 computations (38.8% saved)
| Inputs |
|---|
(*.f64 B 1/6) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 1 x) B) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(/.f64 1 (/.f64 B (-.f64 1 x))) |
| Outputs |
|---|
(/.f64 (-.f64 1 x) B) |
2 calls:
| 39.0ms | B |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 33.2b | 1 | B |
| 33.2b | 1 | x |
Compiled 41 to 25 computations (39% saved)
| Inputs |
|---|
(*.f64 B 1/6) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
| Outputs |
|---|
(/.f64 (neg.f64 x) B) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
2 calls:
| 26.0ms | B |
| 20.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 40.3b | 4 | B |
| 34.1b | 3 | x |
Compiled 22 to 12 computations (45.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 64.0ms | 606553354524163.8 | 2.2485608551587436e+23 |
| 114.0ms | -1.960508292530095 | -1.3352213106821646e-16 |
Compiled 19 to 15 computations (21.1% saved)
Total -19.5b remaining (-45.5%)
Threshold costs -19.5b (-45.5%)
| Inputs |
|---|
(*.f64 B 1/6) |
(/.f64 1 B) |
| Outputs |
|---|
(/.f64 1 B) |
2 calls:
| 5.0ms | x |
| 3.0ms | B |
| Error | Segments | Branch |
|---|---|---|
| 42.8b | 1 | B |
| 42.8b | 1 | x |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 20× | +-commutative_binary64 |
| 17× | *-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 325 |
| 1 | 107 | 321 |
| 2 | 146 | 321 |
| 3 | 164 | 321 |
| 4 | 171 | 321 |
| 5 | 172 | 321 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(if (<=.f64 x -8159097234046933/1048576) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))))) |
(if (<=.f64 x -8159097234046933/1048576) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))) |
(if (<=.f64 x -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x 500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920) (/.f64 (-.f64 1 x) (sin.f64 B)) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))))) |
(/.f64 (-.f64 1 x) (sin.f64 B)) |
(if (<=.f64 B -1461713278210949/8192) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 4994020646233023/576460752303423488) (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) (/.f64 1 (sin.f64 B)))) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
(if (<=.f64 x -8829344415695303/4503599627370496) (/.f64 (neg.f64 x) B) (if (<=.f64 x 2426213418096655/4) (/.f64 1 B) (/.f64 (neg.f64 x) B))) |
(/.f64 1 B) |
(*.f64 B 1/6) |
| Outputs |
|---|
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(if (<=.f64 x -8159097234046933/1048576) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))))) |
(if (<=.f64 x -8159097234046933/1048576) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (neg.f64 (/.f64 1 B)))) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))))) |
(if (<=.f64 x -8159097234046933/1048576) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 -1 B))) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))))) |
(if (<=.f64 x -8159097234046933/1048576) (*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 -1 B))) (*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B))))) |
(if (<=.f64 x -8159097234046933/1048576) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))) |
(if (<=.f64 x -8159097234046933/1048576) (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (neg.f64 (/.f64 1 B)))) (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)))) |
(if (<=.f64 x -8159097234046933/1048576) (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 -1 B))) (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)))) |
(if (<=.f64 x -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x 500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920) (/.f64 (-.f64 1 x) (sin.f64 B)) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 x -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040) (-.f64 (+.f64 (/.f64 1 B) (*.f64 B 1/6)) (/.f64 x (tan.f64 B))) (if (<=.f64 x 500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920) (/.f64 (-.f64 1 x) (sin.f64 B)) (-.f64 (+.f64 (/.f64 1 B) (*.f64 B 1/6)) (/.f64 x (tan.f64 B))))) |
(/.f64 (-.f64 1 x) (sin.f64 B)) |
(if (<=.f64 B -1461713278210949/8192) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 4994020646233023/576460752303423488) (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) (/.f64 1 (sin.f64 B)))) |
(if (<=.f64 B -1461713278210949/8192) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 4994020646233023/576460752303423488) (-.f64 (+.f64 (/.f64 1 B) (*.f64 B (+.f64 1/6 (*.f64 x 1/3)))) (/.f64 x B)) (/.f64 1 (sin.f64 B)))) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (/.f64 1 B) (*.f64 B (+.f64 1/6 (*.f64 x 1/3)))) (/.f64 x B)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
(if (<=.f64 x -8829344415695303/4503599627370496) (/.f64 (neg.f64 x) B) (if (<=.f64 x 2426213418096655/4) (/.f64 1 B) (/.f64 (neg.f64 x) B))) |
(/.f64 1 B) |
(*.f64 B 1/6) |
Compiled 239 to 152 computations (36.4% saved)
| 1× | egg-herbie |
| 105× | fma-def_binary64 |
| 66× | fma-neg_binary64 |
| 28× | cancel-sign-sub-inv_binary64 |
| 19× | sub-neg_binary64 |
| 11× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 24 | 14 |
| 2 | 53 | 14 |
| 3 | 92 | 14 |
| 4 | 145 | 14 |
| 5 | 218 | 14 |
| 6 | 269 | 14 |
| 7 | 343 | 14 |
| 8 | 425 | 14 |
| 9 | 446 | 14 |
| 10 | 451 | 14 |
| 1× | saturated |
Compiled 65 to 50 computations (23.1% saved)
Compiled 215 to 115 computations (46.5% saved)
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