Time bar (total: 10.1s)
| 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)
| 1.0s | 2323× | body | 1024 | valid |
| 807.0ms | 4777× | body | 256 | valid |
| 352.0ms | 1152× | body | 512 | valid |
| 58.0ms | 370× | body | 256 | invalid |
| 3.0ms | 4× | body | 2048 | valid |
| 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 |
|---|---|---|
| ▶ | 0.2b | (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
| ▶ | 0.1b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.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 | |
|---|---|---|---|---|
| 2.0ms | 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 1 (sin.f64 B)) | |
| ✓ | 0.2b | (/.f64 x (tan.f64 B)) |
Compiled 26 to 11 computations (57.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | B | @ | -inf | (-.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 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 0.0ms | B | @ | 0 | (/.f64 x (tan.f64 B)) |
| 0.0ms | x | @ | 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)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 508 | 21 | 529 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 509 | 22 | 531 |
| Status | Error | Program |
|---|---|---|
| ▶ | 35.1b | (/.f64 (-.f64 1 x) B) |
| 33.5b | (pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2) | |
| 36.7b | (*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) | |
| 26.3b | (-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) | |
| 0.2b | (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B))) | |
| ▶ | 36.7b | (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
| 17.2b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) | |
| 11.0b | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 31.9b | (-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) | |
| 26.8b | (/.f64 1 (sin.f64 B)) | |
| ▶ | 34.7b | (-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B))) |
| 26.2b | (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) | |
| 17.2b | (-.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))) |
| ▶ | 26.2b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
| 0.2b | (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B))) | |
| 36.7b | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) | |
| 17.3b | (+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) | |
| 34.7b | (-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B))) | |
| ▶ | 0.2b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
| 35.2b | (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) | |
| 26.8b | (-.f64 (/.f64 1 (sin.f64 B)) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -3))) |
Compiled 541 to 394 computations (27.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
| 0.1b | (/.f64 1 (sin.f64 B)) | |
| ✓ | 0.1b | (*.f64 (cos.f64 B) x) |
| ✓ | 0.2b | (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
Compiled 36 to 12 computations (66.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | B | @ | 0 | (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
| 1.0ms | B | @ | inf | (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
| 1.0ms | B | @ | -inf | (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
| 1.0ms | B | @ | 0 | (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
| 1× | batch-egg-rewrite |
| 911× | prod-diff_binary64 |
| 577× | log-prod_binary64 |
| 342× | fma-def_binary64 |
| 286× | egg-rr |
| 202× | log-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 218 | 31 |
| 2 | 3265 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(*.f64 (cos.f64 B) x) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
| Outputs |
|---|
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(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 (sin.f64 B))) (*.f64 (cos.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 (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 (+.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 (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 |
| 764× | sub-neg_binary64 |
| 443× | *-commutative_binary64 |
| 371× | fma-def_binary64 |
| 315× | unsub-neg_binary64 |
| 308× | associate--l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 599 |
| 1 | 244 | 517 |
| 2 | 753 | 453 |
| 3 | 3593 | 436 |
| 4 | 6585 | 436 |
| 1× | node limit |
| Inputs |
|---|
(/.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))))) |
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))) |
(/.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 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 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) |
(+.f64 (/.f64 x B) (*.f64 B (*.f64 x -1/3))) |
(fma.f64 B (*.f64 x -1/3) (/.f64 x B)) |
(fma.f64 (*.f64 x B) -1/3 (/.f64 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) (fma.f64 (*.f64 x -1/3) B (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3)))) |
(+.f64 (/.f64 x B) (fma.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3) (*.f64 x (*.f64 -1/3 B)))) |
(fma.f64 x (*.f64 B -1/3) (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (/.f64 x B))) |
(+.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 x B) (fma.f64 (*.f64 x -1/3) B (fma.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) (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3))))) |
(+.f64 (/.f64 x B) (fma.f64 B (*.f64 x -1/3) (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 (/.f64 x B) (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 (-.f64 (fma.f64 x -1/720 (*.f64 (*.f64 x -1/45) 1/6)) (*.f64 x -1/336)) (pow.f64 B 5) (*.f64 -1/3 (*.f64 x B))))) |
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 (+.f64 (*.f64 (*.f64 x -1/45) 1/6) (*.f64 x 1/630)) (pow.f64 B 5) (*.f64 -1/3 (*.f64 x 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 (*.f64 B -1/2) 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 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 B (*.f64 B -1/2))) x)) |
(*.f64 x (+.f64 (fma.f64 (*.f64 B -1/2) B 1) (fma.f64 -1/720 (pow.f64 B 6) (*.f64 1/24 (pow.f64 B 4))))) |
(/.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 B (+.f64 (+.f64 (*.f64 x -1/6) 1/6) (*.f64 1/2 x))) (/.f64 (-.f64 1 x) B)) |
(fma.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 1/6 (*.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 (fma.f64 (+.f64 (+.f64 (*.f64 x -1/6) 1/6) (*.f64 1/2 x)) B (fma.f64 (+.f64 7/360 (-.f64 (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3))) (*.f64 x 1/24))) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B)) |
(+.f64 (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (*.f64 (pow.f64 B 3) (+.f64 (fma.f64 x 1/120 (*.f64 x 1/18)) (-.f64 7/360 (*.f64 x 1/24))))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (fma.f64 x 1/120 (*.f64 x 1/72))) (/.f64 (-.f64 1 x) B))) |
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (-.f64 7/360 (*.f64 x -1/45)) (/.f64 (-.f64 1 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 (fma.f64 (+.f64 31/15120 (-.f64 (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))) (*.f64 x -1/720))) (pow.f64 B 5) (fma.f64 (+.f64 (+.f64 (*.f64 x -1/6) 1/6) (*.f64 1/2 x)) B (fma.f64 (+.f64 7/360 (-.f64 (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3))) (*.f64 x 1/24))) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B)) |
(fma.f64 (pow.f64 B 5) (+.f64 (fma.f64 -1/6 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (fma.f64 x -1/5040 (*.f64 x -1/360))) (-.f64 31/15120 (*.f64 x -1/720))) (+.f64 (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (*.f64 (pow.f64 B 3) (+.f64 (fma.f64 x 1/120 (*.f64 x 1/18)) (-.f64 7/360 (*.f64 x 1/24))))) (/.f64 (-.f64 1 x) B))) |
(fma.f64 (pow.f64 B 5) (fma.f64 x 1/720 (+.f64 (*.f64 x -1/336) (fma.f64 -1/6 (*.f64 x -1/45) 31/15120))) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (fma.f64 x 1/120 (*.f64 x 1/72))) (/.f64 (-.f64 1 x) B)))) |
(fma.f64 (pow.f64 B 5) (+.f64 31/15120 (fma.f64 -1/6 (*.f64 x -1/45) (*.f64 x -1/630))) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (-.f64 7/360 (*.f64 x -1/45)) (/.f64 (-.f64 1 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)) (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 (sin.f64 B) (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)) (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 (sin.f64 B) (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)) (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 (sin.f64 B) (cos.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)) (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 (sin.f64 B) (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)) (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 (sin.f64 B) (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)) (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 (sin.f64 B) (cos.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)) (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 (sin.f64 B) (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)) (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 (sin.f64 B) (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)) (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 (sin.f64 B) (cos.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) |
| 0.0ms | B | @ | inf | (/.f64 (-.f64 1 x) B) |
| 0.0ms | B | @ | 0 | (/.f64 (-.f64 1 x) B) |
| 0.0ms | 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))) |
| 0.2b | (/.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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
| 0.0ms | B | @ | 0 | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) |
| 0.0ms | B | @ | 0 | (*.f64 1/6 B) |
| 0.0ms | B | @ | -inf | (*.f64 1/6 B) |
| 0.0ms | B | @ | inf | (*.f64 1/6 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (cos.f64 B) |
| 0.1b | (*.f64 (cos.f64 B) x) | |
| 0.2b | (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
Compiled 29 to 9 computations (69% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | B | @ | 0 | (cos.f64 B) |
| 0.0ms | B | @ | inf | (cos.f64 B) |
| 0.0ms | B | @ | -inf | (cos.f64 B) |
| 1× | batch-egg-rewrite |
| 416× | log1p-udef_binary64 |
| 274× | associate-*r*_binary64 |
| 272× | pow1_binary64 |
| 262× | add-sqr-sqrt_binary64 |
| 257× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 3 |
| 1 | 58 | 3 |
| 2 | 673 | 3 |
| 3 | 7412 | 3 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 B) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 B) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 B))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 B)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 B 1)) (cos.f64 1)) (*.f64 (sin.f64 (+.f64 B 1)) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 B) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 B)) (pow.f64 (cbrt.f64 (cos.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 2) (cbrt.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 B)) (sqrt.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 B))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 B))) (pow.f64 (cbrt.f64 (cos.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 B))) 2) (cbrt.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 B) 1/6) (*.f64 (pow.f64 (cos.f64 B) 1/6) (pow.f64 (cbrt.f64 (cos.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 B) 1/4) (sqrt.f64 (pow.f64 (cos.f64 B) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 B) 1/4) (*.f64 (pow.f64 (cos.f64 B) 1/4) (sqrt.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 B)) (pow.f64 (cos.f64 B) 1/4)) (pow.f64 (cos.f64 B) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 4) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 B) 5/2)) (pow.f64 (cos.f64 B) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 5)) (pow.f64 (cos.f64 B) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cos.f64 B) 3/2)) (pow.f64 (cos.f64 B) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 B) 5/2) 1/3) (pow.f64 (cos.f64 B) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 B)) (cbrt.f64 (cos.f64 B))) (pow.f64 (cos.f64 B) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 B)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 B))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 2) (pow.f64 (cos.f64 B) 1/6)) (pow.f64 (cos.f64 B) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 B B)) (cos.f64 0))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 B) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cos.f64 B) 1) (+.f64 (cos.f64 B) 1)) (+.f64 1 (+.f64 (cos.f64 B) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (cos.f64 B) 1) (+.f64 (cos.f64 B) 1)) 1) (+.f64 (+.f64 (cos.f64 B) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 B) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 B))) 2)) (cbrt.f64 (log.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 B)))) (sqrt.f64 (log.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 B))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 B))) 2)))))) |
| 1× | egg-herbie |
| 1595× | fma-def_binary64 |
| 726× | sqr-pow_binary64 |
| 414× | cube-prod_binary64 |
| 369× | *-commutative_binary64 |
| 328× | pow-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 52 |
| 1 | 48 | 50 |
| 2 | 107 | 48 |
| 3 | 326 | 46 |
| 4 | 1163 | 46 |
| 5 | 2920 | 46 |
| 6 | 3505 | 46 |
| 7 | 3731 | 46 |
| 8 | 3926 | 46 |
| 9 | 4177 | 46 |
| 10 | 4492 | 46 |
| 11 | 5800 | 46 |
| 12 | 6236 | 46 |
| 13 | 6727 | 46 |
| 14 | 7330 | 46 |
| 15 | 7584 | 46 |
| 16 | 7836 | 46 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 B 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 B 2)) (*.f64 1/24 (pow.f64 B 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 B 2)) (+.f64 (*.f64 1/24 (pow.f64 B 4)) (*.f64 -1/720 (pow.f64 B 6))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 B 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 B B))) |
(fma.f64 -1/2 (*.f64 B B) 1) |
(fma.f64 B (*.f64 -1/2 B) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 B 2)) (*.f64 1/24 (pow.f64 B 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 B B) (*.f64 1/24 (pow.f64 B 4)))) |
(fma.f64 -1/2 (*.f64 B B) (fma.f64 1/24 (pow.f64 B 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 B 2)) (+.f64 (*.f64 1/24 (pow.f64 B 4)) (*.f64 -1/720 (pow.f64 B 6))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 B B) (fma.f64 1/24 (pow.f64 B 4) (*.f64 -1/720 (pow.f64 B 6))))) |
(fma.f64 -1/720 (pow.f64 B 6) (fma.f64 -1/2 (*.f64 B B) (fma.f64 1/24 (pow.f64 B 4) 1))) |
(fma.f64 -1/2 (*.f64 B B) (fma.f64 1/24 (pow.f64 B 4) (fma.f64 -1/720 (pow.f64 B 6) 1))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B))) |
| ✓ | 0.0b | (pow.f64 (sin.f64 B) -1/2) |
| 0.2b | (/.f64 x (tan.f64 B)) | |
| ✓ | 0.3b | (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) |
Compiled 35 to 18 computations (48.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | B | @ | inf | (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) |
| 16.0ms | B | @ | -inf | (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) |
| 5.0ms | B | @ | 0 | (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) |
| 4.0ms | x | @ | 0 | (-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B))) |
| 1.0ms | B | @ | 0 | (pow.f64 (sin.f64 B) -1/2) |
| 1× | batch-egg-rewrite |
| 746× | prod-diff_binary64 |
| 542× | log-prod_binary64 |
| 313× | pow2_binary64 |
| 239× | egg-rr |
| 238× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 249 | 26 |
| 2 | 3189 | 26 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) |
(pow.f64 (sin.f64 B) -1/2) |
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B))) |
| Outputs |
|---|
((#(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 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (cbrt.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/4) (*.f64 (pow.f64 (sin.f64 B) -1/4) (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/4) 3) (pow.f64 (sin.f64 B) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -1) (pow.f64 (sqrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 B) -1/2) (cbrt.f64 (/.f64 1 (sin.f64 B)))) (cbrt.f64 (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sin.f64 B))))) (#(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 0 (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 B) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -1/2)) (cbrt.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/4) (pow.f64 (sin.f64 B) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1/2) (pow.f64 (cbrt.f64 (sin.f64 B)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -1/2) (pow.f64 (sqrt.f64 (sin.f64 B)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 B) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 B) -1/2)) 1)))))) |
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(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 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 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.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 fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.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 fma.f64 (pow.f64 (sin.f64 B) -1/4) (*.f64 (pow.f64 (sin.f64 B) -1/4) (pow.f64 (sin.f64 B) -1/2)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sin.f64 B) -1/4) (*.f64 (pow.f64 (sin.f64 B) -1/4) (pow.f64 (sin.f64 B) -1/2)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/4) 3) (pow.f64 (sin.f64 B) -1/4) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/4) 3) (pow.f64 (sin.f64 B) -1/4) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(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 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (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 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (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 (pow.f64 (sqrt.f64 (sin.f64 B)) -1) (pow.f64 (sqrt.f64 (sin.f64 B)) -1) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -1) (pow.f64 (sqrt.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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (sin.f64 B) -1/2) (cbrt.f64 (/.f64 1 (sin.f64 B)))) (cbrt.f64 (pow.f64 (sin.f64 B) -1/2)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (sin.f64 B) -1/2) (cbrt.f64 (/.f64 1 (sin.f64 B)))) (cbrt.f64 (pow.f64 (sin.f64 B) -1/2)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1)))))) |
| 1× | egg-herbie |
| 848× | fma-neg_binary64 |
| 815× | fma-def_binary64 |
| 298× | *-commutative_binary64 |
| 290× | associate-*l*_binary64 |
| 264× | unswap-sqr_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 657 |
| 1 | 144 | 652 |
| 2 | 314 | 638 |
| 3 | 680 | 636 |
| 4 | 1227 | 631 |
| 5 | 2470 | 631 |
| 6 | 4213 | 597 |
| 7 | 5419 | 597 |
| 8 | 6933 | 539 |
| 1× | node limit |
| Inputs |
|---|
(/.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 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)) |
(sqrt.f64 (/.f64 1 B)) |
(+.f64 (sqrt.f64 (/.f64 1 B)) (*.f64 1/12 (sqrt.f64 (pow.f64 B 3)))) |
(+.f64 (sqrt.f64 (/.f64 1 B)) (+.f64 (*.f64 1/12 (sqrt.f64 (pow.f64 B 3))) (*.f64 1/160 (sqrt.f64 (pow.f64 B 7))))) |
(+.f64 (sqrt.f64 (/.f64 1 B)) (+.f64 (*.f64 1/12 (sqrt.f64 (pow.f64 B 3))) (+.f64 (*.f64 61/120960 (sqrt.f64 (pow.f64 B 11))) (*.f64 1/160 (sqrt.f64 (pow.f64 B 7)))))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(*.f64 -1 (/.f64 x B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B))) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 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 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 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B))) |
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.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 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))) |
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))) |
(fma.f64 31/15120 (pow.f64 B 5) (fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))) |
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 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 1 (sin.f64 B)) |
(sqrt.f64 (/.f64 1 B)) |
(+.f64 (sqrt.f64 (/.f64 1 B)) (*.f64 1/12 (sqrt.f64 (pow.f64 B 3)))) |
(fma.f64 1/12 (sqrt.f64 (pow.f64 B 3)) (sqrt.f64 (/.f64 1 B))) |
(fma.f64 1/12 (pow.f64 B 3/2) (sqrt.f64 (/.f64 1 B))) |
(+.f64 (sqrt.f64 (/.f64 1 B)) (+.f64 (*.f64 1/12 (sqrt.f64 (pow.f64 B 3))) (*.f64 1/160 (sqrt.f64 (pow.f64 B 7))))) |
(+.f64 (sqrt.f64 (/.f64 1 B)) (fma.f64 1/12 (sqrt.f64 (pow.f64 B 3)) (*.f64 1/160 (sqrt.f64 (pow.f64 B 7))))) |
(+.f64 (fma.f64 1/12 (sqrt.f64 (pow.f64 B 3)) (sqrt.f64 (/.f64 1 B))) (*.f64 1/160 (fabs.f64 (pow.f64 B 7/2)))) |
(fma.f64 1/160 (pow.f64 B 7/2) (fma.f64 1/12 (pow.f64 B 3/2) (sqrt.f64 (/.f64 1 B)))) |
(fma.f64 1/12 (pow.f64 B 3/2) (fma.f64 1/160 (pow.f64 B 7/2) (sqrt.f64 (/.f64 1 B)))) |
(+.f64 (sqrt.f64 (/.f64 1 B)) (+.f64 (*.f64 1/12 (sqrt.f64 (pow.f64 B 3))) (+.f64 (*.f64 61/120960 (sqrt.f64 (pow.f64 B 11))) (*.f64 1/160 (sqrt.f64 (pow.f64 B 7)))))) |
(+.f64 (sqrt.f64 (/.f64 1 B)) (fma.f64 1/12 (sqrt.f64 (pow.f64 B 3)) (fma.f64 61/120960 (sqrt.f64 (pow.f64 B 11)) (*.f64 1/160 (sqrt.f64 (pow.f64 B 7)))))) |
(+.f64 (fma.f64 1/12 (sqrt.f64 (pow.f64 B 3)) (sqrt.f64 (/.f64 1 B))) (fma.f64 1/160 (fabs.f64 (pow.f64 B 7/2)) (*.f64 61/120960 (fabs.f64 (pow.f64 B 11/2))))) |
(+.f64 (fma.f64 1/12 (pow.f64 B 3/2) (sqrt.f64 (/.f64 1 B))) (fma.f64 1/160 (pow.f64 B 7/2) (*.f64 61/120960 (pow.f64 B 11/2)))) |
(fma.f64 1/12 (pow.f64 B 3/2) (fma.f64 1/160 (pow.f64 B 7/2) (fma.f64 61/120960 (pow.f64 B 11/2) (sqrt.f64 (/.f64 1 B))))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 B))) |
(sqrt.f64 (/.f64 1 (sin.f64 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 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 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B))) |
(fma.f64 -1 (/.f64 x B) (fma.f64 1/3 (*.f64 B x) (/.f64 1 B))) |
(-.f64 (fma.f64 1/3 (*.f64 B x) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (fma.f64 B (*.f64 x 1/3) (/.f64 1 B)) (/.f64 x B)) |
(fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)) |
(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 1 x) B)) |
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 x B) (fma.f64 1/3 (*.f64 B x) (/.f64 1 B)))) |
(fma.f64 B 1/6 (-.f64 (fma.f64 1/3 (*.f64 B x) (/.f64 1 B)) (/.f64 x B))) |
(-.f64 (fma.f64 B 1/6 (fma.f64 B (*.f64 x 1/3) (/.f64 1 B))) (/.f64 x B)) |
(fma.f64 B (*.f64 x 1/3) (fma.f64 B 1/6 (-.f64 (/.f64 1 B) (/.f64 x B)))) |
(-.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 1 B)) (/.f64 x B)) |
(fma.f64 B (fma.f64 x 1/3 1/6) (/.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 -1 (*.f64 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 -1 (*.f64 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 -1 (*.f64 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 -1 (*.f64 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 -1 (*.f64 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 -1 (*.f64 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 -1 (*.f64 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 -1 (*.f64 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (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 x (cos.f64 B)))) |
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 x (cos.f64 B)))) |
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
Compiled 31126 to 13545 computations (56.5% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1169 | 19 | 1188 |
| Fresh | 11 | 5 | 16 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 1 | 5 |
| Total | 1185 | 25 | 1210 |
| Status | Error | Program |
|---|---|---|
| ✓ | 35.1b | (/.f64 (-.f64 1 x) B) |
| 51.3b | (*.f64 -1 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) | |
| ▶ | 36.7b | (*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x)))) |
| ▶ | 0.2b | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 36.7b | (*.f64 -1 (pow.f64 (/.f64 (tan.f64 B) x) -1)) | |
| 11.0b | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| ▶ | 35.2b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
| ▶ | 26.8b | (/.f64 1 (sin.f64 B)) |
| 53.2b | (/.f64 (neg.f64 x) B) | |
| 53.2b | (*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) | |
| 34.8b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) | |
| 35.2b | (+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B))) | |
| 35.1b | (*.f64 (/.f64 1 B) (-.f64 1 x)) | |
| 35.2b | (-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B)) | |
| 44.6b | (/.f64 1 B) | |
| 17.2b | (-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B))) | |
| 43.7b | (-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x B)) | |
| ▶ | 61.8b | (*.f64 B 1/6) |
| 26.2b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) | |
| 36.7b | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) | |
| 35.1b | (-.f64 (/.f64 1 B) (/.f64 x B)) | |
| 44.3b | (+.f64 (*.f64 1/6 B) (/.f64 1 B)) | |
| 35.2b | (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) | |
| 18.6b | (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) | |
| 51.5b | (*.f64 -1 (/.f64 x (sin.f64 B))) |
Compiled 553 to 403 computations (27.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 B) | |
| 0.1b | (*.f64 (cos.f64 B) x) | |
| ✓ | 0.1b | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
Compiled 28 to 11 computations (60.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 0.0ms | x | @ | 0 | (/.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 | 14 |
| 1 | 191 | 14 |
| 2 | 2591 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.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))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (sin.f64 B)))) (/.f64 (cos.f64 B) (sqrt.f64 (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))) (fma.f64 (neg.f64 (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B)))) (/.f64 x (sqrt.f64 (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))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (sqrt.f64 (sin.f64 B)))) (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (sqrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 (sin.f64 B)) 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#<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 B))) (sqrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B)))))))) |
| 1× | egg-herbie |
| 765× | unsub-neg_binary64 |
| 680× | associate-+r+_binary64 |
| 530× | sub-neg_binary64 |
| 390× | distribute-rgt-in_binary64 |
| 352× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 442 |
| 1 | 137 | 404 |
| 2 | 394 | 400 |
| 3 | 1692 | 338 |
| 4 | 6353 | 338 |
| 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)))) |
| 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 (fma.f64 x -1/24 (*.f64 (-.f64 1 x) -1/120)) (*.f64 x -1/12)) (*.f64 (-.f64 1 x) -1/36)) (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))) |
(fma.f64 (+.f64 (*.f64 x 1/24) (*.f64 (+.f64 x -1) -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 (fma.f64 x -1/24 (*.f64 (-.f64 1 x) -1/120)) (*.f64 x -1/12)) (*.f64 (-.f64 1 x) -1/36)) (pow.f64 B 3) (fma.f64 (-.f64 (*.f64 x 1/720) (fma.f64 (-.f64 1 x) -1/5040 (fma.f64 -1/6 (-.f64 (-.f64 (fma.f64 x -1/24 (*.f64 (-.f64 1 x) -1/120)) (*.f64 x -1/12)) (*.f64 (-.f64 1 x) -1/36)) (+.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 x -1) -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 x -1) -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 (/.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 (/.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)))) |
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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (-.f64 1 x) B) | |
| ✓ | 3.7b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
Compiled 29 to 20 computations (31% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
| 1.0ms | B | @ | 0 | (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
| 0.0ms | B | @ | inf | (-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
| 1× | batch-egg-rewrite |
| 656× | prod-diff_binary64 |
| 440× | fma-def_binary64 |
| 412× | log-prod_binary64 |
| 246× | pow-prod-down_binary64 |
| 234× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 191 | 7 |
| 2 | 2951 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
| Outputs |
|---|
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(log1p.f64 (/.f64 (-.f64 1 x) B))))) (neg.f64 (+.f64 (/.f64 (-.f64 1 x) B) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) 1) (*.f64 (+.f64 1 (fma.f64 x x x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (*.f64 (+.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))))) (#(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 (pow.f64 B -3) (pow.f64 (/.f64 x B) 3)) (+.f64 (pow.f64 (*.f64 B B) -1) (+.f64 (pow.f64 (/.f64 x B) 2) (*.f64 (/.f64 1 B) (/.f64 x B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 2) (+.f64 (/.f64 (-.f64 1 x) B) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 B B) -1) (pow.f64 (/.f64 x B) 2)) (+.f64 (/.f64 1 B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 2)) (-.f64 1 (+.f64 (/.f64 (-.f64 1 x) B) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) 1) B)))) (#(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 /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 B)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))))) (#(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)) -2) 1/2)))) (#(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 (pow.f64 (/.f64 (-.f64 1 x) B) 3) 1/3)))) (#(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 B (-.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 2) (+.f64 (/.f64 (-.f64 1 x) B) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 1 x) B))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 1 x) B) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (-.f64 1 x) B))))) -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 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 log.f64 (+.f64 1 (expm1.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 hypot.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 B (-.f64 1 x)) -2) (/.f64 (-.f64 1 x) B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)) 1))))) (#(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 exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 x) B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 1 x) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 (-.f64 1 x) B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) (/.f64 1 B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) B) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 B) (-.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 1 x) B)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 2) (+.f64 (/.f64 (-.f64 1 x) B) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) B) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (-.f64 1 x) B)))) (/.f64 1 (+.f64 (/.f64 (-.f64 1 x) B) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 B (-.f64 1 x)) -2)) (/.f64 1 (-.f64 1 (/.f64 (-.f64 1 x) B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 B)) 2) (cbrt.f64 (/.f64 1 B)) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 B)) (sqrt.f64 (/.f64 1 B)) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 B) -2) (/.f64 (-.f64 1 x) (cbrt.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 B -1/2) (/.f64 (-.f64 1 x) (sqrt.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 1 x) B)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 1) (-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 1) 1))))) |
| 1× | egg-herbie |
| 135× | fma-def_binary64 |
| 118× | fma-neg_binary64 |
| 27× | div-sub_binary64 |
| 25× | cancel-sign-sub-inv_binary64 |
| 21× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 247 |
| 1 | 22 | 163 |
| 2 | 31 | 163 |
| 3 | 48 | 163 |
| 4 | 68 | 163 |
| 5 | 101 | 163 |
| 6 | 166 | 163 |
| 7 | 298 | 163 |
| 8 | 525 | 163 |
| 9 | 670 | 163 |
| 10 | 716 | 163 |
| 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)) |
(/.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) |
| 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 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 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 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 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 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 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 x) B) |
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 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 x) B) |
(/.f64 (-.f64 1 x) B) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
(/.f64 (-.f64 1 x) B) |
(fma.f64 -1 (/.f64 x B) (/.f64 1 B)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 1 (sin.f64 B)) |
Compiled 10 to 6 computations (40% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 B) | |
| ✓ | 0.1b | (/.f64 (sin.f64 B) x) |
| ✓ | 0.2b | (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))) |
| ✓ | 0.3b | (/.f64 1 (/.f64 (sin.f64 B) x)) |
Compiled 40 to 17 computations (57.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | B | @ | 0 | (/.f64 1 (/.f64 (sin.f64 B) x)) |
| 1.0ms | B | @ | inf | (/.f64 1 (/.f64 (sin.f64 B) x)) |
| 1.0ms | B | @ | -inf | (/.f64 1 (/.f64 (sin.f64 B) x)) |
| 1.0ms | x | @ | -inf | (/.f64 1 (/.f64 (sin.f64 B) x)) |
| 1.0ms | B | @ | 0 | (/.f64 (sin.f64 B) x) |
| 1× | batch-egg-rewrite |
| 935× | pow1_binary64 |
| 862× | add-log-exp_binary64 |
| 862× | log1p-expm1-u_binary64 |
| 862× | expm1-log1p-u_binary64 |
| 842× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 186 | 23 |
| 2 | 2413 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (sin.f64 B) x)) |
(*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))) |
(/.f64 (sin.f64 B) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) 2) (cbrt.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sin.f64 B))) (sqrt.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (sin.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 B) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 B) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 x (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 x (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 B))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 B))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 B)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 B) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sin.f64 B)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 B) x) (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 (pow.f64 (cbrt.f64 (cos.f64 B)) 2) (/.f64 (/.f64 (sin.f64 B) x) (cbrt.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 B)) (/.f64 (/.f64 (sin.f64 B) x) (sqrt.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 B)) (/.f64 (neg.f64 (sin.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 B) (sqrt.f64 (/.f64 (sin.f64 B) x))) (sqrt.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 B) 1) (/.f64 (sin.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 B) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) 2)) (cbrt.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (cos.f64 B)) (/.f64 (neg.f64 (sin.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 B) -1) (/.f64 (neg.f64 (sin.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) 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 (/.f64 x (sin.f64 B)) (cos.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.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 (/.f64 x (sin.f64 B)) (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 B) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 B) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) 2) (cbrt.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (*.f64 (cbrt.f64 (sin.f64 B)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 B) x)) (sqrt.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 B)) (*.f64 (sqrt.f64 (sin.f64 B)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 B)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 B)) 1) (/.f64 (sqrt.f64 (sin.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 B) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 B)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 B) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 B)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 B) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 B) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 B) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 B) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 B) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 B) x))))))) |
| 1× | egg-herbie |
| 552× | distribute-rgt-in_binary64 |
| 497× | distribute-lft-in_binary64 |
| 391× | fma-def_binary64 |
| 388× | cancel-sign-sub-inv_binary64 |
| 374× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 639 |
| 1 | 229 | 601 |
| 2 | 790 | 567 |
| 3 | 3329 | 561 |
| 1× | node limit |
| Inputs |
|---|
(/.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 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 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 (*.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 -1/6 (/.f64 (pow.f64 B 3) x)) (/.f64 B x)) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 B 5) x)) (/.f64 B x))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 -1/5040 (/.f64 (pow.f64 B 7) x))))) |
| Outputs |
|---|
(/.f64 x B) |
(+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) |
(fma.f64 1/6 (*.f64 x B) (/.f64 x B)) |
(fma.f64 (*.f64 B 1/6) x (/.f64 x B)) |
(fma.f64 x (*.f64 B 1/6) (/.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 (fma.f64 1/6 (*.f64 x B) (/.f64 x B)) (neg.f64 (*.f64 (pow.f64 B 3) (*.f64 x -7/360)))) |
(-.f64 (fma.f64 (*.f64 B 1/6) x (/.f64 x B)) (*.f64 (pow.f64 B 3) (*.f64 x -7/360))) |
(fma.f64 x (*.f64 B 1/6) (fma.f64 (pow.f64 B 3) (*.f64 x 7/360) (/.f64 x B))) |
(+.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))))))) |
(fma.f64 -1 (*.f64 (pow.f64 B 5) (fma.f64 1/720 x (fma.f64 -1/5040 x (*.f64 1/6 (*.f64 x -7/360))))) (+.f64 (fma.f64 1/6 (*.f64 x B) (/.f64 x B)) (neg.f64 (*.f64 (pow.f64 B 3) (*.f64 x -7/360))))) |
(-.f64 (-.f64 (fma.f64 (*.f64 B 1/6) x (/.f64 x B)) (*.f64 (pow.f64 B 3) (*.f64 x -7/360))) (*.f64 (pow.f64 B 5) (+.f64 (*.f64 x -7/2160) (*.f64 x 1/840)))) |
(fma.f64 x (*.f64 B 1/6) (-.f64 (fma.f64 (pow.f64 B 3) (*.f64 x 7/360) (/.f64 x B)) (*.f64 (pow.f64 B 5) (*.f64 x -31/15120)))) |
(fma.f64 x (*.f64 B 1/6) (fma.f64 (pow.f64 B 5) (*.f64 x 31/15120) (fma.f64 (pow.f64 B 3) (*.f64 x 7/360) (/.f64 x B)))) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
(/.f64 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 B (*.f64 x -1/3))) |
(fma.f64 B (*.f64 x -1/3) (/.f64 x B)) |
(fma.f64 x (*.f64 B -1/3) (/.f64 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) (fma.f64 (*.f64 x -1/3) B (*.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3))))))) |
(+.f64 (/.f64 x B) (fma.f64 B (*.f64 x -1/3) (*.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/30) (*.f64 x 1/18))))) |
(fma.f64 x (*.f64 B -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B))) |
(fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (fma.f64 x (*.f64 B -1/3) (/.f64 x B))) |
(+.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 x B) (fma.f64 (*.f64 x -1/3) B (fma.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 1/120 (*.f64 x -1/3))))) (pow.f64 B 5) (*.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))))))) |
(+.f64 (/.f64 x B) (fma.f64 B (*.f64 x -1/3) (fma.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (*.f64 (pow.f64 B 5) (-.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)))))))) |
(+.f64 (fma.f64 x (*.f64 B -1/3) (/.f64 x B)) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (*.f64 (pow.f64 B 5) (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (*.f64 x -1/45) (*.f64 x -1/336)))))) |
(+.f64 (/.f64 x B) (fma.f64 (pow.f64 B 5) (+.f64 (*.f64 1/6 (*.f64 x -1/45)) (*.f64 x 1/630)) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (*.f64 x (*.f64 B -1/3))))) |
(/.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 -1/6 (/.f64 (pow.f64 B 3) x)) (/.f64 B x)) |
(fma.f64 -1/6 (/.f64 (pow.f64 B 3) x) (/.f64 B x)) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 B 5) x)) (/.f64 B x))) |
(fma.f64 -1/6 (/.f64 (pow.f64 B 3) x) (fma.f64 1/120 (/.f64 (pow.f64 B 5) x) (/.f64 B x))) |
(fma.f64 1/120 (/.f64 (pow.f64 B 5) x) (fma.f64 -1/6 (/.f64 (pow.f64 B 3) x) (/.f64 B x))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 -1/5040 (/.f64 (pow.f64 B 7) x))))) |
(fma.f64 -1/6 (/.f64 (pow.f64 B 3) x) (+.f64 (fma.f64 1/120 (/.f64 (pow.f64 B 5) x) (/.f64 B x)) (*.f64 -1/5040 (/.f64 (pow.f64 B 7) x)))) |
(fma.f64 -1/6 (/.f64 (pow.f64 B 3) x) (fma.f64 1/120 (/.f64 (pow.f64 B 5) x) (fma.f64 -1/5040 (/.f64 (pow.f64 B 7) x) (/.f64 B x)))) |
(fma.f64 1/120 (/.f64 (pow.f64 B 5) x) (fma.f64 -1/6 (/.f64 (pow.f64 B 3) x) (fma.f64 -1/5040 (/.f64 (pow.f64 B 7) x) (/.f64 B x)))) |
Compiled 11727 to 6306 computations (46.2% saved)
33 alts after pruning (28 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 601 | 14 | 615 |
| Fresh | 5 | 14 | 19 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 607 | 33 | 640 |
| Status | Error | Program |
|---|---|---|
| 36.7b | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) | |
| 15.7b | (/.f64 (-.f64 1 x) (sin.f64 B)) | |
| ✓ | 35.1b | (/.f64 (-.f64 1 x) B) |
| 62.1b | (fabs.f64 (*.f64 B 1/6)) | |
| 51.3b | (*.f64 -1 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) | |
| 36.7b | (*.f64 -1 (/.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 1 x))) | |
| ✓ | 36.7b | (*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x)))) |
| ✓ | 0.2b | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 36.7b | (*.f64 -1 (pow.f64 (/.f64 (tan.f64 B) x) -1)) | |
| ▶ | 11.0b | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) |
| ✓ | 26.8b | (/.f64 1 (sin.f64 B)) |
| 53.2b | (/.f64 (neg.f64 x) B) | |
| 36.7b | (*.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) | |
| ▶ | 44.6b | (/.f64 1 B) |
| 34.8b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) | |
| 35.2b | (+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B))) | |
| 40.9b | (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x)) | |
| 62.7b | (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1)) | |
| 35.2b | (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) | |
| 44.8b | (-.f64 (+.f64 1 (/.f64 1 B)) 1) | |
| ✓ | 61.8b | (*.f64 B 1/6) |
| ▶ | 26.2b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
| 53.2b | (*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) | |
| 18.6b | (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) | |
| 51.5b | (*.f64 -1 (/.f64 x (sin.f64 B))) | |
| 47.8b | (pow.f64 (sqrt.f64 (sin.f64 B)) -2) | |
| 47.8b | (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) | |
| ▶ | 53.2b | (-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
| 35.1b | (*.f64 (/.f64 1 B) (-.f64 1 x)) | |
| 35.1b | (-.f64 (/.f64 1 B) (/.f64 x B)) | |
| 39.5b | (cbrt.f64 (pow.f64 (sin.f64 B) -3)) | |
| 44.3b | (+.f64 (*.f64 1/6 B) (/.f64 1 B)) | |
| ▶ | 35.2b | (-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B)) |
Compiled 682 to 512 computations (24.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) |
| ✓ | 0.1b | (*.f64 x (sin.f64 B)) |
| ✓ | 0.2b | (*.f64 (tan.f64 B) (sin.f64 B)) |
| ✓ | 10.3b | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) |
Compiled 37 to 8 computations (78.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | B | @ | -inf | (*.f64 (tan.f64 B) (sin.f64 B)) |
| 1.0ms | B | @ | inf | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) |
| 1.0ms | B | @ | 0 | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) |
| 1.0ms | B | @ | -inf | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) |
| 1× | batch-egg-rewrite |
| 634× | log-prod_binary64 |
| 386× | pow-prod-down_binary64 |
| 290× | pow2_binary64 |
| 243× | fma-def_binary64 |
| 203× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 46 |
| 1 | 204 | 46 |
| 2 | 3199 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) |
(*.f64 (tan.f64 B) (sin.f64 B)) |
(*.f64 x (sin.f64 B)) |
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 1 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 B) (neg.f64 x) (tan.f64 B)) (/.f64 (/.f64 1 (tan.f64 B)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B))))) 2) (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 1 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 B) (neg.f64 x) (tan.f64 B)) 2)) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 B) (neg.f64 x) (tan.f64 B))) (/.f64 (/.f64 1 (tan.f64 B)) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) 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egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (tan.f64 B) 3) (pow.f64 (*.f64 x (sin.f64 B)) 3)) (/.f64 1 (fma.f64 (*.f64 x (sin.f64 B)) (fma.f64 x (sin.f64 B) (tan.f64 B)) (pow.f64 (tan.f64 B) 2))) (fma.f64 (neg.f64 x) (sin.f64 B) (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (tan.f64 B) 3) (pow.f64 (*.f64 x (sin.f64 B)) 3)) (/.f64 1 (fma.f64 (*.f64 x (sin.f64 B)) (fma.f64 x (sin.f64 B) (tan.f64 B)) (pow.f64 (tan.f64 B) 2))) (fma.f64 (*.f64 (sin.f64 B) (neg.f64 x)) 1 (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (tan.f64 B) 3) (pow.f64 (*.f64 x (sin.f64 B)) 3)) (/.f64 1 (fma.f64 (*.f64 x (sin.f64 B)) (fma.f64 x (sin.f64 B) (tan.f64 B)) (pow.f64 (tan.f64 B) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (sin.f64 B)))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 B))) 2) (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (tan.f64 B) 2) (pow.f64 (*.f64 x (sin.f64 B)) 2)) (/.f64 1 (fma.f64 x (sin.f64 B) (tan.f64 B))) (fma.f64 (neg.f64 x) (sin.f64 B) (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (tan.f64 B) 2) (pow.f64 (*.f64 x (sin.f64 B)) 2)) (/.f64 1 (fma.f64 x (sin.f64 B) (tan.f64 B))) (fma.f64 (*.f64 (sin.f64 B) (neg.f64 x)) 1 (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (tan.f64 B) 2) (pow.f64 (*.f64 x (sin.f64 B)) 2)) (/.f64 1 (fma.f64 x (sin.f64 B) (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (sin.f64 B)))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 B))) 2) (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 B) (neg.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 B) (neg.f64 x))) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 B) (neg.f64 x))) (sqrt.f64 (*.f64 (sin.f64 B) (neg.f64 x))) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sin.f64 B)) x (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (sin.f64 B)))) (sqrt.f64 (*.f64 x (sin.f64 B))) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x (sin.f64 B)) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (*.f64 x (sin.f64 B)))) (-.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (*.f64 x (sin.f64 B)))) (fma.f64 (neg.f64 x) (sin.f64 B) (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (*.f64 x (sin.f64 B)))) (-.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (*.f64 x (sin.f64 B)))) (fma.f64 (*.f64 (sin.f64 B) (neg.f64 x)) 1 (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (*.f64 x (sin.f64 B)))) (-.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (*.f64 x (sin.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (sin.f64 B)))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 B))) 2) (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 B))) 2)) (cbrt.f64 (*.f64 x (sin.f64 B))) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) (sin.f64 B) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B)) (tan.f64 B)))))) |
| 1× | egg-herbie |
| 705× | distribute-rgt-in_binary64 |
| 637× | distribute-lft-in_binary64 |
| 465× | fma-def_binary64 |
| 238× | associate-+l+_binary64 |
| 214× | associate--l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 1435 |
| 1 | 313 | 1404 |
| 2 | 908 | 1369 |
| 3 | 3530 | 1308 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (+.f64 (*.f64 (-.f64 2/15 (+.f64 (*.f64 1/6 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 1/120 x) (*.f64 31/360 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (pow.f64 B 5) (-.f64 17/315 (+.f64 (*.f64 173/5040 (-.f64 1 x)) (+.f64 (*.f64 -1/5040 x) (+.f64 (*.f64 31/360 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (*.f64 1/6 (-.f64 2/15 (+.f64 (*.f64 1/6 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 31/360 (-.f64 1 x)) (*.f64 1/120 x)))))))))) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (+.f64 (*.f64 (-.f64 2/15 (+.f64 (*.f64 1/6 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 1/120 x) (*.f64 31/360 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B)) |
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2)) |
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2)) |
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2)) |
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2)) |
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2)) |
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2)) |
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2)) |
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2)) |
(/.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)))) |
(pow.f64 B 2) |
(+.f64 (pow.f64 B 2) (*.f64 1/6 (pow.f64 B 4))) |
(+.f64 (pow.f64 B 2) (+.f64 (*.f64 1/6 (pow.f64 B 4)) (*.f64 31/360 (pow.f64 B 6)))) |
(+.f64 (pow.f64 B 2) (+.f64 (*.f64 1/6 (pow.f64 B 4)) (+.f64 (*.f64 31/360 (pow.f64 B 6)) (*.f64 173/5040 (pow.f64 B 8))))) |
(/.f64 (pow.f64 (sin.f64 B) 2) (cos.f64 B)) |
(/.f64 (pow.f64 (sin.f64 B) 2) (cos.f64 B)) |
(/.f64 (pow.f64 (sin.f64 B) 2) (cos.f64 B)) |
(/.f64 (pow.f64 (sin.f64 B) 2) (cos.f64 B)) |
(/.f64 (pow.f64 (sin.f64 B) 2) (cos.f64 B)) |
(/.f64 (pow.f64 (sin.f64 B) 2) (cos.f64 B)) |
(/.f64 (pow.f64 (sin.f64 B) 2) (cos.f64 B)) |
(/.f64 (pow.f64 (sin.f64 B) 2) (cos.f64 B)) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 x B) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) x)) (*.f64 x B)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) x)) (*.f64 x B))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) x)) (+.f64 (*.f64 x B) (*.f64 -1/5040 (*.f64 (pow.f64 B 7) x))))) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (sin.f64 B) x) |
(*.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 (-.f64 1 x) B) (*.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3))) |
(+.f64 (*.f64 (-.f64 1 x) B) (+.f64 (*.f64 (-.f64 2/15 (*.f64 1/120 x)) (pow.f64 B 5)) (*.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3)))) |
(+.f64 (*.f64 (-.f64 17/315 (*.f64 -1/5040 x)) (pow.f64 B 7)) (+.f64 (*.f64 (-.f64 1 x) B) (+.f64 (*.f64 (-.f64 2/15 (*.f64 1/120 x)) (pow.f64 B 5)) (*.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3))))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(*.f64 -1 (*.f64 (sin.f64 B) x)) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(*.f64 -1 (*.f64 (sin.f64 B) x)) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
| Outputs |
|---|
(/.f64 (-.f64 1 x) B) |
(-.f64 (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (/.f64 1 B)) (/.f64 x B)) |
(+.f64 (*.f64 B (-.f64 1/3 (fma.f64 1/6 (-.f64 1 x) (*.f64 x -1/6)))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (-.f64 1/3 (fma.f64 (-.f64 1 x) 1/6 (*.f64 x -1/6))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (+.f64 (*.f64 x 1/6) (-.f64 1/6 (*.f64 x -1/6))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (-.f64 1/6 (*.f64 x -1/3)) (/.f64 (-.f64 1 x) B)) |
(-.f64 (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (+.f64 (*.f64 (-.f64 2/15 (+.f64 (*.f64 1/6 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 1/120 x) (*.f64 31/360 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B)) |
(-.f64 (fma.f64 (-.f64 1/3 (fma.f64 1/6 (-.f64 1 x) (*.f64 x -1/6))) B (fma.f64 (-.f64 2/15 (fma.f64 1/6 (-.f64 1/3 (fma.f64 1/6 (-.f64 1 x) (*.f64 x -1/6))) (fma.f64 1/120 x (*.f64 (-.f64 1 x) 31/360)))) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B)) |
(+.f64 (fma.f64 B (-.f64 1/3 (fma.f64 (-.f64 1 x) 1/6 (*.f64 x -1/6))) (*.f64 (-.f64 2/15 (fma.f64 1/6 (-.f64 1/3 (fma.f64 (-.f64 1 x) 1/6 (*.f64 x -1/6))) (fma.f64 x 1/120 (*.f64 (-.f64 1 x) 31/360)))) (pow.f64 B 3))) (/.f64 (-.f64 1 x) B)) |
(fma.f64 B (+.f64 (*.f64 x 1/6) (-.f64 1/6 (*.f64 x -1/6))) (fma.f64 (-.f64 2/15 (fma.f64 1/6 (+.f64 (*.f64 x 1/6) (-.f64 1/6 (*.f64 x -1/6))) (fma.f64 x 1/120 (+.f64 31/360 (*.f64 -31/360 x))))) (pow.f64 B 3) (/.f64 (-.f64 1 x) B))) |
(fma.f64 B (-.f64 1/6 (*.f64 x -1/3)) (fma.f64 (-.f64 (+.f64 (*.f64 -1/6 (-.f64 1/6 (*.f64 x -1/3))) 17/360) (*.f64 x -7/90)) (pow.f64 B 3) (/.f64 (-.f64 1 x) B))) |
(-.f64 (+.f64 (*.f64 (pow.f64 B 5) (-.f64 17/315 (+.f64 (*.f64 173/5040 (-.f64 1 x)) (+.f64 (*.f64 -1/5040 x) (+.f64 (*.f64 31/360 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (*.f64 1/6 (-.f64 2/15 (+.f64 (*.f64 1/6 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 31/360 (-.f64 1 x)) (*.f64 1/120 x)))))))))) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (+.f64 (*.f64 (-.f64 2/15 (+.f64 (*.f64 1/6 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 1/120 x) (*.f64 31/360 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B)) |
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(*.f64 x (sin.f64 B)) |
(*.f64 (sin.f64 B) x) |
(*.f64 x (sin.f64 B)) |
(*.f64 (sin.f64 B) x) |
(*.f64 x (sin.f64 B)) |
(*.f64 (-.f64 1 x) B) |
(+.f64 (*.f64 (-.f64 1 x) B) (*.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3))) |
(fma.f64 (-.f64 1 x) B (*.f64 (pow.f64 B 3) (+.f64 1/3 (*.f64 1/6 x)))) |
(fma.f64 (-.f64 1 x) B (*.f64 (pow.f64 B 3) (-.f64 1/3 (*.f64 x -1/6)))) |
(fma.f64 (-.f64 1 x) B (*.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3))) |
(+.f64 (*.f64 (-.f64 1 x) B) (+.f64 (*.f64 (-.f64 2/15 (*.f64 1/120 x)) (pow.f64 B 5)) (*.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3)))) |
(fma.f64 (-.f64 1 x) B (fma.f64 (+.f64 2/15 (*.f64 -1/120 x)) (pow.f64 B 5) (*.f64 (pow.f64 B 3) (+.f64 1/3 (*.f64 1/6 x))))) |
(fma.f64 (-.f64 1 x) B (fma.f64 (pow.f64 B 3) (-.f64 1/3 (*.f64 x -1/6)) (*.f64 (pow.f64 B 5) (+.f64 2/15 (*.f64 x -1/120))))) |
(fma.f64 (-.f64 1 x) B (fma.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3) (*.f64 (pow.f64 B 5) (fma.f64 x -1/120 2/15)))) |
(fma.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3) (fma.f64 (-.f64 1 x) B (*.f64 (pow.f64 B 5) (fma.f64 x -1/120 2/15)))) |
(+.f64 (*.f64 (-.f64 17/315 (*.f64 -1/5040 x)) (pow.f64 B 7)) (+.f64 (*.f64 (-.f64 1 x) B) (+.f64 (*.f64 (-.f64 2/15 (*.f64 1/120 x)) (pow.f64 B 5)) (*.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3))))) |
(fma.f64 (+.f64 17/315 (*.f64 1/5040 x)) (pow.f64 B 7) (fma.f64 (-.f64 1 x) B (fma.f64 (+.f64 2/15 (*.f64 -1/120 x)) (pow.f64 B 5) (*.f64 (pow.f64 B 3) (+.f64 1/3 (*.f64 1/6 x)))))) |
(fma.f64 (pow.f64 B 7) (+.f64 17/315 (*.f64 x 1/5040)) (fma.f64 (-.f64 1 x) B (fma.f64 (pow.f64 B 3) (-.f64 1/3 (*.f64 x -1/6)) (*.f64 (pow.f64 B 5) (+.f64 2/15 (*.f64 x -1/120)))))) |
(fma.f64 (-.f64 1 x) B (fma.f64 (pow.f64 B 7) (fma.f64 x 1/5040 17/315) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3) (*.f64 (pow.f64 B 5) (fma.f64 x -1/120 2/15))))) |
(fma.f64 (pow.f64 B 7) (fma.f64 x 1/5040 17/315) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3) (fma.f64 (-.f64 1 x) B (*.f64 (pow.f64 B 5) (fma.f64 x -1/120 2/15))))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(*.f64 -1 (*.f64 (sin.f64 B) x)) |
(neg.f64 (*.f64 x (sin.f64 B))) |
(*.f64 x (neg.f64 (sin.f64 B))) |
(*.f64 (sin.f64 B) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(*.f64 -1 (*.f64 (sin.f64 B) x)) |
(neg.f64 (*.f64 x (sin.f64 B))) |
(*.f64 x (neg.f64 (sin.f64 B))) |
(*.f64 (sin.f64 B) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x))) |
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.6b | (-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
Compiled 25 to 11 computations (56% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
| 1.0ms | B | @ | inf | (-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
| 0.0ms | B | @ | 0 | (-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
| 1× | batch-egg-rewrite |
| 829× | pow1_binary64 |
| 776× | add-log-exp_binary64 |
| 776× | log1p-expm1-u_binary64 |
| 776× | expm1-log1p-u_binary64 |
| 762× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 183 | 4 |
| 2 | 2826 | 4 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 x B) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 x B) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x B) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x B)) (pow.f64 (cbrt.f64 (/.f64 x B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x B)) 2) (cbrt.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x B)) (sqrt.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x B)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x B)) 2) (+.f64 (/.f64 x B) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 B) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)) (/.f64 1 (+.f64 (/.f64 x B) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 x (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 x (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 x (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 x) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 B)) (/.f64 x (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 x B))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 x B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 B x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 B x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x B)) 2) (+.f64 (/.f64 x B) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 x B)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x B) 2) (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 B (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 B (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x B)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 x B)) 2) (+.f64 (/.f64 x B) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x B)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 x B)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 x B)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 B x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 B x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)) (+.f64 (/.f64 x B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)) (-.f64 (+.f64 1 (/.f64 x B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x B)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x B)) 2) (+.f64 (/.f64 x B) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B))) (neg.f64 (+.f64 (/.f64 x B) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 B)) (sqrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x B) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 x B) -1) (+.f64 (/.f64 x B) -1)) (+.f64 (/.f64 x B) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 x B) -1) (+.f64 (/.f64 x B) -1))) (-.f64 1 (+.f64 (/.f64 x B) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x B))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 x B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x B))) 2) (cbrt.f64 (+.f64 1 (/.f64 x B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 x B))) (sqrt.f64 (+.f64 1 (/.f64 x B))) -1))))) |
| 1× | egg-herbie |
| 14× | fma-def_binary64 |
| 8× | sub-neg_binary64 |
| 4× | +-commutative_binary64 |
| 4× | fma-neg_binary64 |
| 3× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 144 |
| 1 | 10 | 144 |
| 2 | 17 | 144 |
| 3 | 23 | 144 |
| 4 | 29 | 144 |
| 5 | 37 | 144 |
| 6 | 45 | 144 |
| 7 | 55 | 144 |
| 8 | 63 | 144 |
| 9 | 77 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
(*.f64 -1 (/.f64 x B)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(*.f64 -1 (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1/6 (*.f64 -1/6 x)) |
| ✓ | 0.3b | (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) |
| ✓ | 0.3b | (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) |
| ✓ | 0.3b | (*.f64 -1/6 x) |
Compiled 79 to 55 computations (30.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) |
| 1.0ms | B | @ | 0 | (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) |
| 1.0ms | x | @ | inf | (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) |
| 1.0ms | B | @ | -inf | (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) |
| 1.0ms | x | @ | 0 | (*.f64 -1/6 x) |
| 1× | batch-egg-rewrite |
| 555× | log-prod_binary64 |
| 403× | fma-def_binary64 |
| 360× | pow-prod-down_binary64 |
| 313× | pow2_binary64 |
| 217× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 248 | 26 |
| 2 | 3319 | 22 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 x) |
(-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) |
(*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) |
(+.f64 1/6 (*.f64 -1/6 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/6 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/6 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/6 x))) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 x) (-.f64 1/6 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 x) (+.f64 1/6 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 (*.f64 x 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 x 1/6) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 x 1/6) (*.f64 (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/3 1/6) (fma.f64 (*.f64 x 1/2) 1 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/3 1/6) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/2))) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/3 1/6) (fma.f64 1/2 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (fma.f64 -1/6 x 1/6))))) (#(struct:change #<rule 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(fma.f64 -1/6 x 1/6) 3) (*.f64 (pow.f64 x 3) -1/8)) (/.f64 1 (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (fma.f64 -1/6 x 1/6)) (pow.f64 (fma.f64 -1/6 x 1/6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -1/2 (fma.f64 -1/6 x 1/6)) (fma.f64 x 1/3 1/6)) (/.f64 1 (fma.f64 x -1/2 (fma.f64 -1/6 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 x 1/6)) (sqrt.f64 (*.f64 x -1/2))) (-.f64 (sqrt.f64 (fma.f64 -1/6 x 1/6)) (sqrt.f64 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (fma.f64 -1/6 x 1/6)) (pow.f64 (fma.f64 -1/6 x 1/6) 2)) (-.f64 (pow.f64 (fma.f64 -1/6 x 1/6) 3) (*.f64 (pow.f64 x 3) -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -1/2 (fma.f64 -1/6 x 1/6)) (*.f64 (fma.f64 x -1/2 (fma.f64 -1/6 x 1/6)) (fma.f64 x 1/3 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/6 x 1/6) 3) (*.f64 (pow.f64 x 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(pow.f64 (*.f64 x 1/2) 2) (*.f64 (fma.f64 -1/6 x 1/6) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (pow.f64 (*.f64 x 1/3) 2)) (-.f64 1/6 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/6 x 1/6) 2) (pow.f64 (*.f64 x 1/2) 2)) (-.f64 (fma.f64 -1/6 x 1/6) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/3 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/3 1/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/3 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/3 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (fma.f64 -1/6 x 1/6)) (pow.f64 (fma.f64 -1/6 x 1/6) 2)) (-.f64 (pow.f64 (fma.f64 -1/6 x 1/6) 3) (*.f64 (pow.f64 x 3) -1/8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -1/2 (fma.f64 -1/6 x 1/6)) (*.f64 (fma.f64 x -1/2 (fma.f64 -1/6 x 1/6)) (fma.f64 x 1/3 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/3 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/3 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/3 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 x 1/6))) (pow.f64 (exp.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 -1/6 x 1/6)) (+.f64 1 (expm1.f64 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 x 1/6))) (+.f64 1 (expm1.f64 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 x 1/6))) (exp.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 x 1/6))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x 1/2)) (exp.f64 (fma.f64 -1/6 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x 1/2)) (+.f64 1 (expm1.f64 (fma.f64 -1/6 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 -1/6 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/3 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/3 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/3 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/3 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/3 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/3 1/6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/3 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/3 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 x (-.f64 1/6 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 x (+.f64 1/6 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/6 (-.f64 1/6 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/6 (+.f64 1/6 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 -1/6 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 x) 1 (-.f64 1/6 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 x) 1 (+.f64 1/6 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/6 x 1/6) 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/6 x 1/6) 1 (*.f64 (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (neg.f64 x) (fma.f64 -1/6 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/3 1/6) 1 (fma.f64 (*.f64 x 1/2) 1 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/3 1/6) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/2))) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/3 1/6) 1 (fma.f64 1/2 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 x) (-.f64 1/6 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 x) (+.f64 1/6 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/6 x 1/6) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/6 x 1/6) (*.f64 (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 1/3 1/6) (fma.f64 (*.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/36 (-.f64 1/6 (*.f64 -1/6 x))) (/.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 1/6 (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 x 1/6)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 x 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 x 1/6)) 2) (cbrt.f64 (fma.f64 -1/6 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 x 1/6)) (sqrt.f64 (fma.f64 -1/6 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/216 (pow.f64 x 3) 1/216) (/.f64 1 (fma.f64 (*.f64 -1/6 x) (fma.f64 -1/6 x -1/6) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/36 (*.f64 1/36 (*.f64 x x))) (/.f64 1 (-.f64 1/6 (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 -1/6 x) (fma.f64 -1/6 x -1/6) 1/36) (fma.f64 -1/216 (pow.f64 x 3) 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/6 (*.f64 -1/6 x)) (-.f64 1/36 (*.f64 1/36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/216 (pow.f64 x 3) 1/216) (fma.f64 (*.f64 -1/6 x) (fma.f64 -1/6 x -1/6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/216 (pow.f64 x 3) 1/216) (fma.f64 1/36 (*.f64 x x) (-.f64 1/36 (*.f64 -1/36 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (*.f64 1/36 (*.f64 x x))) (-.f64 1/6 (*.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/216 (pow.f64 x 3) 1/216)) (neg.f64 (fma.f64 (*.f64 -1/6 x) (fma.f64 -1/6 x -1/6) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/36 (*.f64 1/36 (*.f64 x x)))) (neg.f64 (-.f64 1/6 (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/36 (*.f64 x x) -1/36) (fma.f64 -1/6 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 x 1/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 x 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 -1/6 x) (fma.f64 -1/6 x -1/6) 1/36) (fma.f64 -1/216 (pow.f64 x 3) 1/216)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1/6 (*.f64 -1/6 x)) (-.f64 1/36 (*.f64 1/36 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 x 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 x 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 x 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 x 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 x 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/6 x 1/6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 x 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/6 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 x) 1 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/6 x)) (pow.f64 (cbrt.f64 (*.f64 -1/6 x)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/6 x)) 2) (cbrt.f64 (*.f64 -1/6 x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/6 x)) (sqrt.f64 (*.f64 -1/6 x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (sqrt.f64 x)) (sqrt.f64 x) 1/6))))) |
| 1× | egg-herbie |
| 11× | fma-def_binary64 |
| 7× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 2× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 198 |
| 1 | 22 | 153 |
| 2 | 35 | 153 |
| 3 | 41 | 153 |
| 1× | saturated |
| Inputs |
|---|
1/6 |
(+.f64 1/6 (*.f64 1/3 x)) |
(+.f64 1/6 (*.f64 1/3 x)) |
(+.f64 1/6 (*.f64 1/3 x)) |
(*.f64 1/3 x) |
(+.f64 1/6 (*.f64 1/3 x)) |
(+.f64 1/6 (*.f64 1/3 x)) |
(+.f64 1/6 (*.f64 1/3 x)) |
(*.f64 1/3 x) |
(+.f64 1/6 (*.f64 1/3 x)) |
(+.f64 1/6 (*.f64 1/3 x)) |
(+.f64 1/6 (*.f64 1/3 x)) |
(*.f64 1/6 B) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(*.f64 1/3 (*.f64 x B)) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(*.f64 1/3 (*.f64 x B)) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
1/6 |
(*.f64 -1/6 x) |
(*.f64 -1/6 x) |
| Outputs |
|---|
1/6 |
(+.f64 1/6 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1/6) |
(+.f64 1/6 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1/6) |
(+.f64 1/6 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1/6) |
(*.f64 1/3 x) |
(+.f64 1/6 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1/6) |
(+.f64 1/6 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1/6) |
(+.f64 1/6 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1/6) |
(*.f64 1/3 x) |
(+.f64 1/6 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1/6) |
(+.f64 1/6 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1/6) |
(+.f64 1/6 (*.f64 1/3 x)) |
(fma.f64 1/3 x 1/6) |
(*.f64 1/6 B) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/6 B (*.f64 1/3 (*.f64 x B))) |
(*.f64 B (fma.f64 1/3 x 1/6)) |
(*.f64 (fma.f64 1/3 x 1/6) B) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/6 B (*.f64 1/3 (*.f64 x B))) |
(*.f64 B (fma.f64 1/3 x 1/6)) |
(*.f64 (fma.f64 1/3 x 1/6) B) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/6 B (*.f64 1/3 (*.f64 x B))) |
(*.f64 B (fma.f64 1/3 x 1/6)) |
(*.f64 (fma.f64 1/3 x 1/6) B) |
(*.f64 1/3 (*.f64 x B)) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/6 B (*.f64 1/3 (*.f64 x B))) |
(*.f64 B (fma.f64 1/3 x 1/6)) |
(*.f64 (fma.f64 1/3 x 1/6) B) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/6 B (*.f64 1/3 (*.f64 x B))) |
(*.f64 B (fma.f64 1/3 x 1/6)) |
(*.f64 (fma.f64 1/3 x 1/6) B) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/6 B (*.f64 1/3 (*.f64 x B))) |
(*.f64 B (fma.f64 1/3 x 1/6)) |
(*.f64 (fma.f64 1/3 x 1/6) B) |
(*.f64 1/3 (*.f64 x B)) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/6 B (*.f64 1/3 (*.f64 x B))) |
(*.f64 B (fma.f64 1/3 x 1/6)) |
(*.f64 (fma.f64 1/3 x 1/6) B) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/6 B (*.f64 1/3 (*.f64 x B))) |
(*.f64 B (fma.f64 1/3 x 1/6)) |
(*.f64 (fma.f64 1/3 x 1/6) B) |
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B))) |
(fma.f64 1/6 B (*.f64 1/3 (*.f64 x B))) |
(*.f64 B (fma.f64 1/3 x 1/6)) |
(*.f64 (fma.f64 1/3 x 1/6) B) |
1/6 |
(*.f64 -1/6 x) |
(*.f64 x -1/6) |
(*.f64 -1/6 x) |
(*.f64 x -1/6) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
| 0.2b | (/.f64 1 (tan.f64 B)) | |
| ✓ | 0.3b | (*.f64 (/.f64 1 (tan.f64 B)) x) |
| 0.4b | (*.f64 1/6 B) |
Compiled 45 to 28 computations (37.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | B | @ | 0 | (*.f64 (/.f64 1 (tan.f64 B)) x) |
| 0.0ms | B | @ | 0 | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
| 0.0ms | B | @ | -inf | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
| 0.0ms | B | @ | inf | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
| 1× | batch-egg-rewrite |
| 652× | log-prod_binary64 |
| 577× | fma-def_binary64 |
| 353× | pow2_binary64 |
| 294× | fma-neg_binary64 |
| 241× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 273 | 22 |
| 2 | 3919 | 22 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (tan.f64 B)) x) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (sqrt.f64 B)) (sqrt.f64 B) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (sqrt.f64 B)) (sqrt.f64 B) (*.f64 (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) 1)))))) |
| 1× | egg-herbie |
| 673× | sub-neg_binary64 |
| 578× | associate-*r*_binary64 |
| 412× | cancel-sign-sub-inv_binary64 |
| 411× | distribute-neg-in_binary64 |
| 344× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 782 |
| 1 | 178 | 738 |
| 2 | 520 | 722 |
| 3 | 2526 | 720 |
| 4 | 6905 | 720 |
| 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 (-.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 x B) |
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))) |
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 x B))) |
(fma.f64 -1/3 (*.f64 x B) (/.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)))) |
(fma.f64 (*.f64 (neg.f64 x) 1/45) (pow.f64 B 3) (fma.f64 -1/3 (*.f64 x B) (/.f64 x B))) |
(fma.f64 x (*.f64 B -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B))) |
(fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (fma.f64 x (*.f64 B -1/3) (/.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 (pow.f64 B 5) (fma.f64 17/315 x (fma.f64 -1/3 (*.f64 x 1/45) (*.f64 x -2/45)))) (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 (neg.f64 x) 1/45) (pow.f64 B 3) (fma.f64 -1/3 (*.f64 x B) (/.f64 x B))) (*.f64 (pow.f64 B 5) (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)))) |
(-.f64 (fma.f64 x (*.f64 B -1/3) (/.f64 x B)) (fma.f64 (pow.f64 B 5) (*.f64 x 2/945) (*.f64 x (*.f64 (pow.f64 B 3) 1/45)))) |
(fma.f64 (pow.f64 B 5) (*.f64 x -2/945) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (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 (-.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 (pow.f64 B 5) (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)))) (/.f64 (-.f64 1 x) B))) |
(+.f64 (*.f64 (pow.f64 B 5) (*.f64 x 2/945)) (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 (pow.f64 B 5) (*.f64 x 2/945) (*.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 (*.f64 (pow.f64 B 3) 1/45) (*.f64 (pow.f64 B 5) (*.f64 x 2/945))) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))) |
(*.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 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(-.f64 (*.f64 B 1/6) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (*.f64 B 1/6) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 B 1/6 (*.f64 (neg.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 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.f64 (cos.f64 B) (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))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 -1 B))) |
(*.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 (cos.f64 B) (/.f64 (sin.f64 B) x)))) |
(-.f64 (*.f64 B 1/6) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) |
(-.f64 (*.f64 B 1/6) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(fma.f64 B 1/6 (*.f64 (neg.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 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.f64 (cos.f64 B) (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))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.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 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 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.f64 (cos.f64 B) (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))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.f64 (cos.f64 B) (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))) |
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 -1 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 (neg.f64 x) (/.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 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 -1 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 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 -1 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 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 -1 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 (neg.f64 x) (/.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 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 -1 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 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 -1 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 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.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 x (/.f64 (cos.f64 B) (sin.f64 B)))) |
(-.f64 (*.f64 B 1/6) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 -1 B))) |
Compiled 17324 to 8969 computations (48.2% saved)
42 alts after pruning (34 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 811 | 18 | 829 |
| Fresh | 7 | 16 | 23 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 7 | 9 |
| Total | 820 | 42 | 862 |
| Status | Error | Program |
|---|---|---|
| 35.2b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) | |
| 35.2b | (-.f64 (+.f64 (*.f64 (*.f64 1/3 x) B) (/.f64 1 B)) (/.f64 x B)) | |
| 44.3b | (+.f64 (*.f64 1/6 B) (/.f64 1 B)) | |
| 36.7b | (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) | |
| 53.2b | (/.f64 -1 (/.f64 B x)) | |
| 15.7b | (/.f64 (-.f64 1 x) (sin.f64 B)) | |
| ✓ | 35.1b | (/.f64 (-.f64 1 x) B) |
| 62.1b | (fabs.f64 (*.f64 B 1/6)) | |
| 51.3b | (*.f64 -1 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) | |
| 36.7b | (*.f64 -1 (/.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 1 x))) | |
| ✓ | 36.7b | (*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x)))) |
| ✓ | 0.2b | (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 53.2b | (*.f64 x (/.f64 1 (neg.f64 B))) | |
| 37.3b | (/.f64 (-.f64 (tan.f64 B) (*.f64 x B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 36.7b | (*.f64 -1 (pow.f64 (/.f64 (tan.f64 B) x) -1)) | |
| 35.1b | (-.f64 (/.f64 1 B) (/.f64 x B)) | |
| 35.2b | (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 1/3) 1/6) B) (/.f64 1 B)) (/.f64 x B)) | |
| ✓ | 26.8b | (/.f64 1 (sin.f64 B)) |
| 34.8b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) | |
| 26.3b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 1 (/.f64 (tan.f64 B) x))) | |
| 62.2b | (+.f64 (+.f64 (/.f64 x B) -1) 1) | |
| 36.7b | (*.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) | |
| ✓ | 44.6b | (/.f64 1 B) |
| 62.1b | (/.f64 x B) | |
| 62.4b | (/.f64 1 (/.f64 (+.f64 (/.f64 x B) 2) (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)))) | |
| 62.4b | (*.f64 (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)) (/.f64 1 (+.f64 (/.f64 x B) 2))) | |
| 62.2b | (+.f64 (+.f64 1 (/.f64 x B)) -1) | |
| 40.9b | (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x)) | |
| 35.2b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 1 B)) (/.f64 x B)) | |
| 62.7b | (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1)) | |
| ✓ | 61.8b | (*.f64 B 1/6) |
| ✓ | 26.2b | (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
| 18.6b | (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) | |
| 62.1b | (/.f64 1 (/.f64 B x)) | |
| 53.2b | (*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) | |
| 51.5b | (*.f64 -1 (/.f64 x (sin.f64 B))) | |
| 47.8b | (pow.f64 (sqrt.f64 (sin.f64 B)) -2) | |
| 53.2b | (/.f64 (neg.f64 x) B) | |
| 47.8b | (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) | |
| ✓ | 53.2b | (-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
| 39.5b | (cbrt.f64 (pow.f64 (sin.f64 B) -3)) | |
| 62.1b | (*.f64 (/.f64 1 B) x) |
Compiled 460 to 336 computations (27% saved)
| Inputs |
|---|
(/.f64 x B) |
(/.f64 1 B) |
(/.f64 1 B) |
(*.f64 B 1/6) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 -1 (/.f64 B x)) |
(/.f64 1 (/.f64 B x)) |
(*.f64 (/.f64 1 B) x) |
(/.f64 (-.f64 1 x) B) |
(*.f64 x (/.f64 1 (neg.f64 B))) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(+.f64 (+.f64 (/.f64 x B) -1) 1) |
(+.f64 (+.f64 1 (/.f64 x B)) -1) |
(-.f64 (+.f64 1 (/.f64 1 B)) 1) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (*.f64 1/3 x) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 1 B)) (/.f64 x B)) |
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 1/3) 1/6) B) (/.f64 1 B)) (/.f64 x B)) |
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B))) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 x B) 2) (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)))) |
(*.f64 (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)) (/.f64 1 (+.f64 (/.f64 x B) 2))) |
(-.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 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)) |
(*.f64 -1 (/.f64 x (sin.f64 B))) |
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x 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 B) (/.f64 1 B)) (/.f64 1 (/.f64 (tan.f64 B) x))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(*.f64 -1 (pow.f64 (/.f64 (tan.f64 B) x) -1)) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 (-.f64 1 (*.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 x (tan.f64 B))) |
(*.f64 -1 (/.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 1 x))) |
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.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))) |
(pow.f64 (sqrt.f64 (sin.f64 B)) -2) |
(cbrt.f64 (pow.f64 (sin.f64 B) -3)) |
(pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) |
(*.f64 -1 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) |
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x B)) |
(fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B))) |
(/.f64 (-.f64 (tan.f64 B) (*.f64 x B)) (*.f64 (tan.f64 B) (sin.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (cbrt.f64 (pow.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))) |
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2) |
(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) |
(-.f64 (/.f64 1 (sin.f64 B)) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -3))) |
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B))) |
| Outputs |
|---|
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) |
3 calls:
| 76.0ms | x |
| 73.0ms | B |
| 57.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B))) |
| 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 739 to 404 computations (45.3% saved)
| Inputs |
|---|
(/.f64 x B) |
(/.f64 1 B) |
(/.f64 1 B) |
(*.f64 B 1/6) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 -1 (/.f64 B x)) |
(/.f64 1 (/.f64 B x)) |
(*.f64 (/.f64 1 B) x) |
(/.f64 (-.f64 1 x) B) |
(*.f64 x (/.f64 1 (neg.f64 B))) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(+.f64 (+.f64 (/.f64 x B) -1) 1) |
(+.f64 (+.f64 1 (/.f64 x B)) -1) |
(-.f64 (+.f64 1 (/.f64 1 B)) 1) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (*.f64 1/3 x) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 1 B)) (/.f64 x B)) |
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 1/3) 1/6) B) (/.f64 1 B)) (/.f64 x B)) |
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B))) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 x B) 2) (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)))) |
(*.f64 (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)) (/.f64 1 (+.f64 (/.f64 x B) 2))) |
(-.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 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)) |
(*.f64 -1 (/.f64 x (sin.f64 B))) |
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x 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 B) (/.f64 1 B)) (/.f64 1 (/.f64 (tan.f64 B) x))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(*.f64 -1 (pow.f64 (/.f64 (tan.f64 B) x) -1)) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
2 calls:
| 50.0ms | x |
| 30.0ms | B |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | B |
| 0.2b | 1 | x |
Compiled 521 to 303 computations (41.8% saved)
| Inputs |
|---|
(/.f64 x B) |
(/.f64 1 B) |
(/.f64 1 B) |
(*.f64 B 1/6) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 -1 (/.f64 B x)) |
(/.f64 1 (/.f64 B x)) |
(*.f64 (/.f64 1 B) x) |
(/.f64 (-.f64 1 x) B) |
(*.f64 x (/.f64 1 (neg.f64 B))) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(+.f64 (+.f64 (/.f64 x B) -1) 1) |
(+.f64 (+.f64 1 (/.f64 x B)) -1) |
(-.f64 (+.f64 1 (/.f64 1 B)) 1) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (*.f64 1/3 x) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 1 B)) (/.f64 x B)) |
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 1/3) 1/6) B) (/.f64 1 B)) (/.f64 x B)) |
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B))) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 x B) 2) (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)))) |
(*.f64 (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)) (/.f64 1 (+.f64 (/.f64 x B) 2))) |
(-.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 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)) |
(*.f64 -1 (/.f64 x (sin.f64 B))) |
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x 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 B) (/.f64 1 B)) (/.f64 1 (/.f64 (tan.f64 B) x))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x)) |
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) |
(*.f64 -1 (pow.f64 (/.f64 (tan.f64 B) x) -1)) |
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))) |
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) |
| Outputs |
|---|
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) |
(/.f64 (-.f64 1 x) (sin.f64 B)) |
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) |
2 calls:
| 188.0ms | B |
| 116.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.3b | 4 | B |
| 0.9b | 3 | x |
Compiled 503 to 296 computations (41.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 66.0ms | 7.203975906244019e-6 | 0.0004014985184407007 |
| 65.0ms | -108.36309211851105 | -42.26267743000546 |
Compiled 19 to 15 computations (21.1% saved)
| Inputs |
|---|
(/.f64 x B) |
(/.f64 1 B) |
(/.f64 1 B) |
(*.f64 B 1/6) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 -1 (/.f64 B x)) |
(/.f64 1 (/.f64 B x)) |
(*.f64 (/.f64 1 B) x) |
(/.f64 (-.f64 1 x) B) |
(*.f64 x (/.f64 1 (neg.f64 B))) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(+.f64 (+.f64 (/.f64 x B) -1) 1) |
(+.f64 (+.f64 1 (/.f64 x B)) -1) |
(-.f64 (+.f64 1 (/.f64 1 B)) 1) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (*.f64 1/3 x) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 1 B)) (/.f64 x B)) |
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 1/3) 1/6) B) (/.f64 1 B)) (/.f64 x B)) |
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B))) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 x B) 2) (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)))) |
(*.f64 (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)) (/.f64 1 (+.f64 (/.f64 x B) 2))) |
(-.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 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)) |
(*.f64 -1 (/.f64 x (sin.f64 B))) |
| Outputs |
|---|
(/.f64 (-.f64 1 x) (sin.f64 B)) |
2 calls:
| 27.0ms | x |
| 24.0ms | B |
| Error | Segments | Branch |
|---|---|---|
| 15.7b | 1 | B |
| 15.7b | 1 | x |
Compiled 374 to 228 computations (39% saved)
| Inputs |
|---|
(/.f64 x B) |
(/.f64 1 B) |
(/.f64 1 B) |
(*.f64 B 1/6) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 -1 (/.f64 B x)) |
(/.f64 1 (/.f64 B x)) |
(*.f64 (/.f64 1 B) x) |
(/.f64 (-.f64 1 x) B) |
(*.f64 x (/.f64 1 (neg.f64 B))) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(+.f64 (+.f64 (/.f64 x B) -1) 1) |
(+.f64 (+.f64 1 (/.f64 x B)) -1) |
(-.f64 (+.f64 1 (/.f64 1 B)) 1) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (*.f64 1/3 x) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 1 B)) (/.f64 x B)) |
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 1/3) 1/6) B) (/.f64 1 B)) (/.f64 x B)) |
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B))) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 x B) 2) (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)))) |
(*.f64 (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)) (/.f64 1 (+.f64 (/.f64 x B) 2))) |
(-.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 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 (*.f64 x 1/3) 1/6) B) (/.f64 1 B)) (/.f64 x B)) |
(/.f64 1 (sin.f64 B)) |
2 calls:
| 66.0ms | x |
| 59.0ms | B |
| Error | Segments | Branch |
|---|---|---|
| 17.2b | 3 | B |
| 17.3b | 3 | x |
Compiled 362 to 222 computations (38.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 0.0001572013858433536 | 199438508.66997135 |
| 39.0ms | -0.0009684440082241648 | -2.2560505400773635e-9 |
Compiled 19 to 15 computations (21.1% saved)
| Inputs |
|---|
(/.f64 x B) |
(/.f64 1 B) |
(/.f64 1 B) |
(*.f64 B 1/6) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 -1 (/.f64 B x)) |
(/.f64 1 (/.f64 B x)) |
(*.f64 (/.f64 1 B) x) |
(/.f64 (-.f64 1 x) B) |
(*.f64 x (/.f64 1 (neg.f64 B))) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(+.f64 (+.f64 (/.f64 x B) -1) 1) |
(+.f64 (+.f64 1 (/.f64 x B)) -1) |
(-.f64 (+.f64 1 (/.f64 1 B)) 1) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 (*.f64 1/3 x) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 1 B)) (/.f64 x B)) |
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 1/3) 1/6) B) (/.f64 1 B)) (/.f64 x B)) |
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) |
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B))) |
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 x B) 2) (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)))) |
(*.f64 (*.f64 (+.f64 (/.f64 x B) 2) (/.f64 x B)) (/.f64 1 (+.f64 (/.f64 x B) 2))) |
(-.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 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 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
2 calls:
| 23.0ms | x |
| 19.0ms | B |
| Error | Segments | Branch |
|---|---|---|
| 34.8b | 1 | B |
| 34.8b | 1 | x |
Compiled 358 to 219 computations (38.8% saved)
| Inputs |
|---|
(/.f64 x B) |
(/.f64 1 B) |
(/.f64 1 B) |
(*.f64 B 1/6) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 -1 (/.f64 B x)) |
(/.f64 1 (/.f64 B x)) |
(*.f64 (/.f64 1 B) x) |
(/.f64 (-.f64 1 x) B) |
(*.f64 x (/.f64 1 (neg.f64 B))) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(+.f64 (+.f64 (/.f64 x B) -1) 1) |
(+.f64 (+.f64 1 (/.f64 x B)) -1) |
(-.f64 (+.f64 1 (/.f64 1 B)) 1) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(*.f64 (/.f64 1 B) (-.f64 1 x)) |
(-.f64 (/.f64 1 B) (/.f64 x B)) |
(+.f64 (*.f64 1/6 B) (/.f64 1 B)) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1) |
| Outputs |
|---|
(/.f64 (-.f64 1 x) B) |
2 calls:
| 16.0ms | x |
| 12.0ms | B |
| Error | Segments | Branch |
|---|---|---|
| 35.1b | 1 | B |
| 35.1b | 1 | x |
Compiled 127 to 78 computations (38.6% saved)
| Inputs |
|---|
(/.f64 x B) |
(/.f64 1 B) |
(/.f64 1 B) |
(*.f64 B 1/6) |
(/.f64 (neg.f64 x) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 -1 (/.f64 B x)) |
(/.f64 1 (/.f64 B x)) |
(*.f64 (/.f64 1 B) x) |
| Outputs |
|---|
(/.f64 (neg.f64 x) B) |
(/.f64 1 B) |
(/.f64 (neg.f64 x) B) |
2 calls:
| 36.0ms | B |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 42.5b | 4 | B |
| 35.8b | 3 | x |
Compiled 43 to 23 computations (46.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 63.0ms | 0.003871024296741628 | 9012440599344.75 |
| 65.0ms | -5.742861868786169e-8 | -2.77016184925136e-15 |
Compiled 19 to 15 computations (21.1% saved)
Total -18.2b remaining (-40.8%)
Threshold costs -18.2b (-40.8%)
| Inputs |
|---|
(/.f64 x B) |
(/.f64 1 B) |
(/.f64 1 B) |
(*.f64 B 1/6) |
| Outputs |
|---|
(/.f64 1 B) |
2 calls:
| 5.0ms | B |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 44.6b | 1 | B |
| 44.6b | 1 | x |
Compiled 20 to 13 computations (35% saved)
| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 9× | *-commutative_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 187 |
| 1 | 76 | 187 |
| 2 | 97 | 187 |
| 3 | 106 | 187 |
| 4 | 110 | 187 |
| 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 -3812687353794071/35184372088832) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x 531559599422613/73786976294838206464) (/.f64 (-.f64 1 x) (sin.f64 B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))) |
(/.f64 (-.f64 1 x) (sin.f64 B)) |
(if (<=.f64 B -17864638769428636/18446744073709551616) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 5799707465369623/36893488147419103232) (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 1/3) 1/6) B) (/.f64 1 B)) (/.f64 x B)) (/.f64 1 (sin.f64 B)))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
(if (<=.f64 x -2169591872392475/37778931862957161709568) (/.f64 (neg.f64 x) B) (if (<=.f64 x 71407794505104312/18446744073709551616) (/.f64 1 B) (/.f64 (neg.f64 x) B))) |
(/.f64 1 B) |
(/.f64 x B) |
| 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 -3812687353794071/35184372088832) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x 531559599422613/73786976294838206464) (/.f64 (-.f64 1 x) (sin.f64 B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))) |
(/.f64 (-.f64 1 x) (sin.f64 B)) |
(if (<=.f64 B -17864638769428636/18446744073709551616) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 5799707465369623/36893488147419103232) (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 1/3) 1/6) B) (/.f64 1 B)) (/.f64 x B)) (/.f64 1 (sin.f64 B)))) |
(if (<=.f64 B -4466159692357159/4611686018427387904) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 5799707465369623/36893488147419103232) (-.f64 (+.f64 (/.f64 1 B) (*.f64 B (+.f64 (*.f64 x 1/3) 1/6))) (/.f64 x B)) (/.f64 1 (sin.f64 B)))) |
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) |
(-.f64 (+.f64 (/.f64 1 B) (*.f64 B 1/6)) (/.f64 x B)) |
(/.f64 (-.f64 1 x) B) |
(if (<=.f64 x -2169591872392475/37778931862957161709568) (/.f64 (neg.f64 x) B) (if (<=.f64 x 71407794505104312/18446744073709551616) (/.f64 1 B) (/.f64 (neg.f64 x) B))) |
(if (<=.f64 x -2169591872392475/37778931862957161709568) (/.f64 (neg.f64 x) B) (if (<=.f64 x 8925974313138039/2305843009213693952) (/.f64 1 B) (/.f64 (neg.f64 x) B))) |
(/.f64 1 B) |
(/.f64 x B) |
Compiled 146 to 98 computations (32.9% 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 128 to 72 computations (43.8% saved)
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