Time bar (total: 9.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 50% | 50% | 0% | 5 |
| 50% | 50% | 0% | 6 |
| 50% | 50% | 0% | 7 |
| 50% | 50% | 0% | 8 |
| 50% | 50% | 0% | 9 |
| 50% | 50% | 0% | 10 |
| 50% | 50% | 0% | 11 |
| 50% | 50% | 0% | 12 |
Compiled 17 to 9 computations (47.1% saved)
| 816.0ms | 2057× | body | 1024 | valid |
| 709.0ms | 5137× | body | 256 | valid |
| 332.0ms | 1058× | body | 512 | valid |
| 2.0ms | 4× | body | 2048 | valid |
| 2× | egg-herbie |
| 627× | times-frac_binary64 |
| 560× | div-sub_binary64 |
| 542× | fma-def_binary64 |
| 479× | sub-neg_binary64 |
| 333× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 19 | 22 |
| 2 | 31 | 22 |
| 3 | 49 | 22 |
| 4 | 99 | 22 |
| 5 | 169 | 22 |
| 6 | 281 | 22 |
| 7 | 616 | 22 |
| 8 | 1533 | 22 |
| 9 | 3899 | 22 |
| 10 | 7012 | 22 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
Compiled 17 to 9 computations (47.1% saved)
| 1× | egg-herbie |
| 627× | times-frac_binary64 |
| 560× | div-sub_binary64 |
| 542× | fma-def_binary64 |
| 479× | sub-neg_binary64 |
| 333× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 19 | 22 |
| 2 | 31 | 22 |
| 3 | 49 | 22 |
| 4 | 99 | 22 |
| 5 | 169 | 22 |
| 6 | 281 | 22 |
| 7 | 616 | 22 |
| 8 | 1533 | 22 |
| 9 | 3899 | 22 |
| 10 | 7012 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
Compiled 30 to 13 computations (56.7% 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 |
|---|---|---|
| ▶ | 0.3b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| ▶ | 0.3b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
Compiled 31 to 16 computations (48.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) |
| ✓ | 0.1b | (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) |
| ✓ | 0.2b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| ✓ | 0.2b | (*.f64 (tan.f64 x) (tan.f64 x)) |
Compiled 39 to 13 computations (66.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 1.0ms | x | @ | inf | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1.0ms | x | @ | 0 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 643× | unpow-prod-down_binary64 |
| 433× | log-prod_binary64 |
| 381× | prod-diff_binary64 |
| 240× | pow-prod-down_binary64 |
| 234× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 44 |
| 1 | 180 | 44 |
| 2 | 2553 | 44 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (tan.f64 x) (tan.f64 x)) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) |
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) (sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))) (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 4) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (pow.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 6))) 1) (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 5/2) 1/3) (cbrt.f64 (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 2) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 (pow.f64 (tan.f64 x) 4) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (fma.f64 (tan.f64 x) (tan.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)) (hypot.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) 2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 5) (cbrt.f64 (tan.f64 x)) 1))))) |
| 1× | egg-herbie |
| 807× | fma-def_binary64 |
| 654× | distribute-rgt-out_binary64 |
| 569× | associate-*l*_binary64 |
| 463× | cancel-sign-sub-inv_binary64 |
| 460× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 871 |
| 1 | 141 | 860 |
| 2 | 348 | 856 |
| 3 | 1062 | 856 |
| 4 | 4684 | 856 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)) |
(fma.f64 x x (*.f64 2/3 (pow.f64 x 4))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) (*.f64 17/45 (pow.f64 x 6)))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 62/315 (pow.f64 x 8) (*.f64 x x)))) |
(fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 62/315 2/3)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -2 1) |
(fma.f64 x (*.f64 x -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 (*.f64 x x) -2 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 (pow.f64 x 6) -4/45 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x)))) |
(fma.f64 (pow.f64 x 4) -2/3 (-.f64 1 (*.f64 x x))) |
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (*.f64 x x)) |
(-.f64 1 (fma.f64 x x (*.f64 2/3 (pow.f64 x 4)))) |
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 6) -17/45)))) |
(+.f64 (fma.f64 (pow.f64 x 4) -2/3 (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 x 6) -17/45)) |
(fma.f64 (pow.f64 x 4) -2/3 (fma.f64 (pow.f64 x 6) -17/45 (-.f64 1 (*.f64 x x)))) |
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 (*.f64 x x) 1) |
(fma.f64 x x 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (*.f64 x x) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)) 1)) |
(+.f64 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) 1))) |
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) 1))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (tan.f64 x) (tan.f64 x) 1) |
| 0.1b | (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) | |
| ✓ | 0.2b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.2b | (*.f64 (tan.f64 x) (tan.f64 x)) |
Compiled 37 to 13 computations (64.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.0ms | x | @ | 0 | (fma.f64 (tan.f64 x) (tan.f64 x) 1) |
| 0.0ms | x | @ | inf | (fma.f64 (tan.f64 x) (tan.f64 x) 1) |
| 1× | batch-egg-rewrite |
| 936× | pow1_binary64 |
| 872× | add-log-exp_binary64 |
| 872× | log1p-expm1-u_binary64 |
| 872× | expm1-log1p-u_binary64 |
| 853× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 1 | 176 | 29 |
| 2 | 2413 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(fma.f64 (tan.f64 x) (tan.f64 x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 x) 6) 1) (+.f64 (pow.f64 (tan.f64 x) 4) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))))))) |
| 1× | egg-herbie |
| 598× | associate-/l*_binary64 |
| 441× | associate-/r*_binary64 |
| 360× | fma-def_binary64 |
| 351× | *-commutative_binary64 |
| 332× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 515 |
| 1 | 89 | 509 |
| 2 | 204 | 507 |
| 3 | 581 | 507 |
| 4 | 2440 | 507 |
| 5 | 7496 | 507 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 -4/45 (pow.f64 x 6) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (*.f64 x x))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(+.f64 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x 1)) (*.f64 (pow.f64 x 6) 17/45)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x 1))) |
(fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 2/3 (pow.f64 x 4) 1))) |
(fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) 1))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
Compiled 14680 to 9439 computations (35.7% saved)
39 alts after pruning (39 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 508 | 39 | 547 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 510 | 39 | 549 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.7b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 1.1b | (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.4b | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.3b | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) | |
| ▶ | 0.3b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| ▶ | 31.5b | (fma.f64 x (*.f64 x -2) 1) |
| 0.7b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 31.5b | (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 17.4b | (/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 28.9b | 1 | |
| 30.7b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) | |
| 1.0b | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 4.8b | (/.f64 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.8b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.4b | (/.f64 (/.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -1)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) | |
| 0.4b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) | |
| 1.0b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) | |
| 31.8b | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) | |
| 0.7b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) | |
| 4.9b | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) | |
| 0.4b | (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.5b | (/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.3b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) | |
| ▶ | 0.5b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) |
| 0.5b | (log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))) | |
| ▶ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.5b | (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) | |
| 0.5b | (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) | |
| 0.9b | (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2)))) | |
| 2.3b | (/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ▶ | 17.5b | (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6)) |
| 0.3b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.3b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
Compiled 1578 to 1122 computations (28.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) | |
| ✓ | 0.2b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.2b | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| ✓ | 0.2b | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) |
Compiled 42 to 14 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1.0ms | x | @ | inf | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) |
| 1.0ms | x | @ | -inf | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) |
| 0.0ms | x | @ | 0 | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) |
| 1× | batch-egg-rewrite |
| 758× | pow1_binary64 |
| 705× | add-log-exp_binary64 |
| 704× | log1p-expm1-u_binary64 |
| 704× | expm1-log1p-u_binary64 |
| 690× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 1 | 193 | 26 |
| 2 | 2762 | 26 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 4) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 (pow.f64 (tan.f64 x) 4) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (tan.f64 x)) (*.f64 (hypot.f64 1 (tan.f64 x)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) 1) (/.f64 (hypot.f64 1 (tan.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))) (/.f64 (hypot.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) (hypot.f64 1 (tan.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (pow.f64 (tan.f64 x) 2)))))))) |
| 1× | egg-herbie |
| 664× | associate-/l*_binary64 |
| 424× | fma-def_binary64 |
| 406× | cancel-sign-sub-inv_binary64 |
| 396× | associate-/r*_binary64 |
| 371× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 554 |
| 1 | 96 | 515 |
| 2 | 232 | 513 |
| 3 | 746 | 513 |
| 4 | 3081 | 513 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 1) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x)))) |
(-.f64 (fma.f64 -2/3 (pow.f64 x 4) 1) (*.f64 x x)) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 -17/45 (pow.f64 x 6))))) |
(+.f64 (-.f64 (fma.f64 -2/3 (pow.f64 x 4) 1) (*.f64 x x)) (*.f64 -17/45 (pow.f64 x 6))) |
(fma.f64 -2/3 (pow.f64 x 4) (-.f64 (fma.f64 -17/45 (pow.f64 x 6) 1) (*.f64 x x))) |
(-.f64 (fma.f64 -17/45 (pow.f64 x 6) (fma.f64 -2/3 (pow.f64 x 4) 1)) (*.f64 x x)) |
(-.f64 (fma.f64 -2/3 (pow.f64 x 4) 1) (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -2 1) |
(fma.f64 x (*.f64 x -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 (pow.f64 x 6) -4/45 (fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 1))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
Compiled 13 to 9 computations (30.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (fma.f64 (tan.f64 x) (tan.f64 x) 1) | |
| ✓ | 0.1b | (-.f64 1 (pow.f64 (tan.f64 x) 2)) |
| ✓ | 0.2b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| ✓ | 0.2b | (pow.f64 (tan.f64 x) 2) |
Compiled 35 to 19 computations (45.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (pow.f64 (tan.f64 x) 2) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.0ms | x | @ | inf | (pow.f64 (tan.f64 x) 2) |
| 0.0ms | x | @ | inf | (-.f64 1 (pow.f64 (tan.f64 x) 2)) |
| 1× | batch-egg-rewrite |
| 974× | pow1_binary64 |
| 907× | add-log-exp_binary64 |
| 907× | log1p-expm1-u_binary64 |
| 907× | expm1-log1p-u_binary64 |
| 97× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 198 | 35 |
| 2 | 2505 | 35 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (tan.f64 x) 2) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(-.f64 1 (pow.f64 (tan.f64 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (cbrt.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (tan.f64 x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2))) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2)))) (-.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) |
| 1× | egg-herbie |
| 722× | fma-def_binary64 |
| 653× | distribute-rgt-out_binary64 |
| 568× | associate-*l*_binary64 |
| 471× | cancel-sign-sub-inv_binary64 |
| 460× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 692 |
| 1 | 126 | 685 |
| 2 | 308 | 683 |
| 3 | 991 | 683 |
| 4 | 4486 | 683 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)) |
(fma.f64 x x (*.f64 2/3 (pow.f64 x 4))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 2/3 (pow.f64 x 4)))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 62/315 (pow.f64 x 8) (*.f64 x x)))) |
(fma.f64 x x (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 2/3 (pow.f64 x 4))))) |
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 62/315 2/3) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -2 1) |
(fma.f64 x (*.f64 x -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 (pow.f64 x 6) -4/45 1)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) (fma.f64 (pow.f64 x 6) -4/45 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x)))) |
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (*.f64 x x)) |
(-.f64 1 (fma.f64 x x (*.f64 2/3 (pow.f64 x 4)))) |
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 6) -17/45)))) |
(+.f64 (-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (*.f64 x x)) (*.f64 (pow.f64 x 6) -17/45)) |
(fma.f64 (pow.f64 x 4) -2/3 (-.f64 (fma.f64 (pow.f64 x 6) -17/45 1) (*.f64 x x))) |
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) |
| 0.2b | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| ✓ | 0.3b | (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) |
| ✓ | 0.7b | (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) |
Compiled 50 to 26 computations (48% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) |
| 2.0ms | x | @ | -inf | (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) |
| 1.0ms | x | @ | 0 | (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) |
| 1× | batch-egg-rewrite |
| 499× | log-prod_binary64 |
| 288× | prod-diff_binary64 |
| 283× | pow2_binary64 |
| 281× | pow-prod-down_binary64 |
| 191× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 239 | 38 |
| 2 | 3036 | 38 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (hypot.f64 1 (tan.f64 x)) 6) |
(cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 4) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) 5/6) (hypot.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 18))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 6 (log.f64 (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (hypot.f64 1 (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 18)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 1 (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 1 (tan.f64 x))) 1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (hypot.f64 1 (tan.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (hypot.f64 1 (tan.f64 x)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 1 (tan.f64 x))) 3) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 4) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 1 (tan.f64 x))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 3/2) (sqrt.f64 (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 5) (cbrt.f64 (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 12) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 18) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 1 (tan.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (hypot.f64 1 (tan.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 1 (tan.f64 x))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (hypot.f64 1 (tan.f64 x)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (hypot.f64 1 (tan.f64 x)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) 2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 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| 1× | egg-herbie |
| 605× | fma-def_binary64 |
| 489× | distribute-rgt-out_binary64 |
| 457× | associate-*l*_binary64 |
| 422× | distribute-lft-out_binary64 |
| 414× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 725 |
| 1 | 124 | 717 |
| 2 | 301 | 713 |
| 3 | 944 | 713 |
| 4 | 4108 | 713 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 5 (pow.f64 x 4)))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5 (pow.f64 x 4)) (*.f64 92/15 (pow.f64 x 6))))) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 (pow.f64 x 2)) 1) |
(fma.f64 3 (*.f64 x x) 1) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (*.f64 5 (pow.f64 x 4)))) |
(fma.f64 3 (*.f64 x x) (+.f64 1 (*.f64 5 (pow.f64 x 4)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 5 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5 (pow.f64 x 4)) (*.f64 92/15 (pow.f64 x 6))))) |
(+.f64 (fma.f64 3 (*.f64 x x) 1) (fma.f64 5 (pow.f64 x 4) (*.f64 92/15 (pow.f64 x 6)))) |
(+.f64 (fma.f64 3 (*.f64 x x) 1) (fma.f64 92/15 (pow.f64 x 6) (*.f64 5 (pow.f64 x 4)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 5 (pow.f64 x 4) (fma.f64 92/15 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 5) 3) (fma.f64 92/15 (pow.f64 x 6) 1)) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) |
(pow.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) 3) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(+.f64 (fma.f64 (pow.f64 x 6) 17/45 (*.f64 x x)) (fma.f64 (pow.f64 x 4) 2/3 1)) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 1))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x 1))) |
(fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 1))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -2 1) |
(fma.f64 x (*.f64 x -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (+.f64 1 (*.f64 (pow.f64 x 6) -4/45)))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) |
| ✓ | 0.2b | (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6)) |
| 0.2b | (pow.f64 (tan.f64 x) 2) | |
| ✓ | 0.3b | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6) |
Compiled 69 to 47 computations (31.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6) |
| 3.0ms | x | @ | inf | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6) |
| 0.0ms | x | @ | inf | (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6)) |
| 0.0ms | x | @ | inf | (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) |
| 1× | batch-egg-rewrite |
| 533× | log-prod_binary64 |
| 314× | pow-prod-down_binary64 |
| 313× | pow2_binary64 |
| 217× | pow-to-exp_binary64 |
| 212× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 65 |
| 1 | 280 | 61 |
| 2 | 3272 | 61 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6) |
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) |
| Outputs |
|---|
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(pow.f64 (tan.f64 x) 2)) 1/4) (/.f64 1 (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 1 (neg.f64 (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 4)) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/6) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/4) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) -2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/4) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/4) (cbrt.f64 (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (hypot.f64 1 (tan.f64 x)))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/6) (sqrt.f64 (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 18) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (neg.f64 (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) -1)))))) |
| 1× | egg-herbie |
| 702× | fma-def_binary64 |
| 589× | associate-*l*_binary64 |
| 501× | associate-*r*_binary64 |
| 437× | fma-neg_binary64 |
| 400× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 1079 |
| 1 | 139 | 1069 |
| 2 | 375 | 1065 |
| 3 | 1359 | 1039 |
| 4 | 6614 | 1039 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 (*.f64 14 (pow.f64 x 4)) (+.f64 1 (*.f64 -6 (pow.f64 x 2)))) |
(+.f64 (*.f64 14 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -244/15 (pow.f64 x 6)) (*.f64 -6 (pow.f64 x 2))))) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 -19/90 (pow.f64 x 6))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -6 (*.f64 x x))) |
(fma.f64 -6 (*.f64 x x) 1) |
(+.f64 (*.f64 14 (pow.f64 x 4)) (+.f64 1 (*.f64 -6 (pow.f64 x 2)))) |
(fma.f64 14 (pow.f64 x 4) (+.f64 1 (*.f64 -6 (*.f64 x x)))) |
(fma.f64 14 (pow.f64 x 4) (fma.f64 -6 (*.f64 x x) 1)) |
(fma.f64 -6 (*.f64 x x) (fma.f64 14 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 14 -6) 1) |
(+.f64 (*.f64 14 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -244/15 (pow.f64 x 6)) (*.f64 -6 (pow.f64 x 2))))) |
(fma.f64 14 (pow.f64 x 4) (+.f64 1 (fma.f64 -244/15 (pow.f64 x 6) (*.f64 -6 (*.f64 x x))))) |
(+.f64 (fma.f64 -244/15 (pow.f64 x 6) (*.f64 -6 (*.f64 x x))) (fma.f64 14 (pow.f64 x 4) 1)) |
(fma.f64 14 (pow.f64 x 4) (fma.f64 -6 (*.f64 x x) (fma.f64 -244/15 (pow.f64 x 6) 1))) |
(fma.f64 -244/15 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 14 -6) 1)) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(pow.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) 3) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(pow.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) 3) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(pow.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) 3) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(pow.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) 3) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(pow.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) 3) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(pow.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) 3) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(pow.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) 3) |
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) |
(pow.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) 3) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -2 1) |
(fma.f64 x (*.f64 x -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 1)) |
(fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 4) 2/3 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) -4/45 (fma.f64 (*.f64 x x) -2 1))) |
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 1) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/6))) |
(+.f64 (-.f64 1 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/6)) |
(fma.f64 (pow.f64 x 4) -1/6 (fma.f64 x (neg.f64 x) 1)) |
(-.f64 (*.f64 (pow.f64 x 4) -1/6) (fma.f64 x x -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 -19/90 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -19/90)))) |
(+.f64 (-.f64 1 (*.f64 x x)) (fma.f64 (pow.f64 x 6) -19/90 (*.f64 (pow.f64 x 4) -1/6))) |
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) -1/6 (*.f64 (pow.f64 x 6) -19/90)) (*.f64 x x))) |
(-.f64 (fma.f64 (pow.f64 x 6) -19/90 (*.f64 (pow.f64 x 4) -1/6)) (fma.f64 x x -1)) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(sqrt.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1))) |
Compiled 15705 to 10399 computations (33.8% saved)
40 alts after pruning (37 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 709 | 17 | 726 |
| Fresh | 14 | 20 | 34 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 2 | 4 |
| Total | 725 | 40 | 765 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 31.3b | (cbrt.f64 (+.f64 1 (*.f64 -6 (pow.f64 x 2)))) | |
| 0.7b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 1.1b | (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 26.1b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 1)) | |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) | |
| 0.4b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6)))) | |
| 28.7b | (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 28.9b | 1 | |
| 30.7b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) | |
| 0.4b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) | |
| 1.0b | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 4.8b | (/.f64 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 31.8b | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) | |
| 1.0b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 17.5b | (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -2) | |
| ▶ | 0.3b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
| ▶ | 0.4b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) |
| 0.7b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) | |
| 4.9b | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) | |
| 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 0.4b | (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ▶ | 0.3b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) | |
| 0.5b | (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) | |
| 0.4b | (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| ✓ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.5b | (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) | |
| 0.9b | (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2)))) | |
| ▶ | 31.3b | (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) |
| 0.3b | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) | |
| ✓ | 17.5b | (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6)) |
| 0.4b | (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| ▶ | 0.3b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| ✓ | 31.5b | (fma.f64 x (*.f64 x -2) 1) |
| 0.8b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.7b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) |
Compiled 1461 to 1059 computations (27.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (pow.f64 (tan.f64 x) 2)) |
| ✓ | 0.2b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 0.2b | (pow.f64 (tan.f64 x) 2) | |
| 0.2b | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) |
Compiled 40 to 20 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 0.0ms | x | @ | 0 | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 0.0ms | x | @ | -inf | (+.f64 1 (pow.f64 (tan.f64 x) 2)) |
| 0.0ms | x | @ | -inf | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 0.0ms | x | @ | inf | (+.f64 1 (pow.f64 (tan.f64 x) 2)) |
| 1× | batch-egg-rewrite |
| 813× | pow1_binary64 |
| 756× | add-log-exp_binary64 |
| 755× | log1p-expm1-u_binary64 |
| 755× | expm1-log1p-u_binary64 |
| 741× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 217 | 26 |
| 2 | 2924 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(+.f64 1 (pow.f64 (tan.f64 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (tan.f64 x)) (*.f64 (hypot.f64 1 (tan.f64 x)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) 1) (/.f64 (hypot.f64 1 (tan.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (hypot.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (tan.f64 x))) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (hypot.f64 1 (tan.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (pow.f64 (tan.f64 x) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 4) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 (pow.f64 (tan.f64 x) 4) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1))))) |
| 1× | egg-herbie |
| 663× | associate-/l*_binary64 |
| 398× | associate-/r*_binary64 |
| 378× | associate-/l/_binary64 |
| 364× | fma-def_binary64 |
| 339× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 531 |
| 1 | 91 | 509 |
| 2 | 211 | 507 |
| 3 | 601 | 507 |
| 4 | 2494 | 507 |
| 5 | 7348 | 507 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (*.f64 x x))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(+.f64 (fma.f64 (pow.f64 x 6) 17/45 (*.f64 x x)) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x 1))) |
(fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 2/3 (pow.f64 x 4) 1))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 -6 (*.f64 x x) 1) |
| ✓ | 15.4b | (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) |
Compiled 20 to 11 computations (45% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) |
| 1.0ms | x | @ | inf | (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) |
| 0.0ms | x | @ | inf | (fma.f64 -6 (*.f64 x x) 1) |
| 0.0ms | x | @ | 0 | (fma.f64 -6 (*.f64 x x) 1) |
| 1× | batch-egg-rewrite |
| 525× | pow1_binary64 |
| 513× | add-sqr-sqrt_binary64 |
| 491× | add-log-exp_binary64 |
| 490× | log1p-expm1-u_binary64 |
| 490× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 18 |
| 1 | 132 | 18 |
| 2 | 1381 | 18 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) |
(fma.f64 -6 (*.f64 x x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -6 (*.f64 x x) 1) 1/6) (pow.f64 (fma.f64 -6 (*.f64 x x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -6 (*.f64 x x) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -6 (*.f64 x x) 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -6 (*.f64 x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -6 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -6 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -6 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 -6 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 2) 1) (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 2) (pow.f64 (fma.f64 -6 (*.f64 x x) 1) 1/6)) (pow.f64 (fma.f64 -6 (*.f64 x x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -6 (*.f64 x x)) 3) 1) (+.f64 (*.f64 (*.f64 -6 (*.f64 x x)) (*.f64 -6 (*.f64 x x))) (-.f64 1 (*.f64 (*.f64 -6 (*.f64 x x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -6 (*.f64 x x)) (*.f64 -6 (*.f64 x x))) 1) (-.f64 (*.f64 -6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -6 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -6 (*.f64 x x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -6 (*.f64 x x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -6 (*.f64 x x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -6 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -6 (*.f64 x x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -6 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -6 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -6 (*.f64 x x) 1))))))) |
| 1× | egg-herbie |
| 1583× | fma-def_binary64 |
| 726× | sqr-pow_binary64 |
| 414× | cube-prod_binary64 |
| 394× | *-commutative_binary64 |
| 328× | pow-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 155 |
| 1 | 54 | 133 |
| 2 | 122 | 133 |
| 3 | 344 | 133 |
| 4 | 1204 | 133 |
| 5 | 2967 | 133 |
| 6 | 3552 | 133 |
| 7 | 3782 | 133 |
| 8 | 3977 | 133 |
| 9 | 4228 | 133 |
| 10 | 4543 | 133 |
| 11 | 5851 | 133 |
| 12 | 6288 | 133 |
| 13 | 6779 | 133 |
| 14 | 7382 | 133 |
| 15 | 7636 | 133 |
| 16 | 7884 | 133 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 (pow.f64 x 4)))) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -40/3 (pow.f64 x 6)) (+.f64 1 (*.f64 -4 (pow.f64 x 4))))) |
1 |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(*.f64 -6 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(*.f64 -6 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4 (pow.f64 x 4)))) |
(fma.f64 -2 (*.f64 x x) (+.f64 1 (*.f64 -4 (pow.f64 x 4)))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 -4 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -40/3 (pow.f64 x 6)) (+.f64 1 (*.f64 -4 (pow.f64 x 4))))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 -40/3 (pow.f64 x 6) (+.f64 1 (*.f64 -4 (pow.f64 x 4))))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 -40/3 (pow.f64 x 6) (fma.f64 -4 (pow.f64 x 4) 1))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 -4 (pow.f64 x 4) (fma.f64 -40/3 (pow.f64 x 6) 1))) |
1 |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -6)) |
(fma.f64 (*.f64 x x) -6 1) |
(fma.f64 x (*.f64 x -6) 1) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -6)) |
(fma.f64 (*.f64 x x) -6 1) |
(fma.f64 x (*.f64 x -6) 1) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -6)) |
(fma.f64 (*.f64 x x) -6 1) |
(fma.f64 x (*.f64 x -6) 1) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -6) |
(*.f64 x (*.f64 x -6)) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -6)) |
(fma.f64 (*.f64 x x) -6 1) |
(fma.f64 x (*.f64 x -6) 1) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -6)) |
(fma.f64 (*.f64 x x) -6 1) |
(fma.f64 x (*.f64 x -6) 1) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -6)) |
(fma.f64 (*.f64 x x) -6 1) |
(fma.f64 x (*.f64 x -6) 1) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -6) |
(*.f64 x (*.f64 x -6)) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -6)) |
(fma.f64 (*.f64 x x) -6 1) |
(fma.f64 x (*.f64 x -6) 1) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -6)) |
(fma.f64 (*.f64 x x) -6 1) |
(fma.f64 x (*.f64 x -6) 1) |
(+.f64 1 (*.f64 -6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -6)) |
(fma.f64 (*.f64 x x) -6 1) |
(fma.f64 x (*.f64 x -6) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 0.2b | (pow.f64 (tan.f64 x) 2) | |
| ✓ | 0.3b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) |
| ✓ | 0.5b | (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) |
Compiled 67 to 47 computations (29.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 2.0ms | x | @ | inf | (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 2.0ms | x | @ | -inf | (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 1.0ms | x | @ | -inf | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) |
| 1× | batch-egg-rewrite |
| 886× | prod-diff_binary64 |
| 568× | fma-def_binary64 |
| 301× | fma-neg_binary64 |
| 216× | log-div_binary64 |
| 204× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 75 |
| 1 | 262 | 63 |
| 2 | 3800 | 63 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
| Outputs |
|---|
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(-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 1) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) 0))))) |
| 1× | egg-herbie |
| 645× | unswap-sqr_binary64 |
| 524× | times-frac_binary64 |
| 373× | fma-def_binary64 |
| 370× | cancel-sign-sub-inv_binary64 |
| 356× | associate-*l*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 1032 |
| 1 | 102 | 1026 |
| 2 | 244 | 1026 |
| 3 | 846 | 1026 |
| 4 | 4367 | 834 |
| 5 | 7656 | 810 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 -4/45 (pow.f64 x 6))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 2) |
(fma.f64 -2 (*.f64 x x) 2) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 2)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 2)) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 2)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 2) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 2 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 2) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 2))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 -4/45 (pow.f64 x 6) 2)) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 1 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (sin.f64 x) 2))) |
(+.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 1 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (sin.f64 x) 2))) |
(+.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 1 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (sin.f64 x) 2))) |
(+.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 1 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (sin.f64 x) 2))) |
(+.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 1 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (sin.f64 x) 2))) |
(+.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 1 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (sin.f64 x) 2))) |
(+.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 1 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (sin.f64 x) 2))) |
(+.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 1 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1 (pow.f64 (sin.f64 x) 2))) |
(+.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -2 x) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 -4/45 (pow.f64 x 6) 1)) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -2 x) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 -4/45 (pow.f64 x 6) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) |
| ✓ | 0.2b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| ✓ | 0.2b | (*.f64 (tan.f64 x) (sin.f64 x)) |
| 0.2b | (*.f64 (tan.f64 x) (tan.f64 x)) |
Compiled 62 to 17 computations (72.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (*.f64 (tan.f64 x) (sin.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1.0ms | x | @ | inf | (*.f64 (tan.f64 x) (sin.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 661× | log-prod_binary64 |
| 323× | pow2_binary64 |
| 282× | fma-def_binary64 |
| 226× | pow1/3_binary64 |
| 226× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 265 | 34 |
| 2 | 4057 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (tan.f64 x) (sin.f64 x)) |
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))))) 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| 1× | egg-herbie |
| 919× | distribute-rgt-out_binary64 |
| 794× | fma-def_binary64 |
| 664× | associate-*l*_binary64 |
| 523× | associate-*r*_binary64 |
| 466× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 652 |
| 1 | 125 | 650 |
| 2 | 301 | 650 |
| 3 | 950 | 650 |
| 4 | 4770 | 650 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 173/5040 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (pow.f64 x 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 1/6 (pow.f64 x 4) (*.f64 x x)) |
(fma.f64 x x (*.f64 1/6 (pow.f64 x 4))) |
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 4) (fma.f64 31/360 (pow.f64 x 6) (*.f64 x x))) |
(fma.f64 x x (fma.f64 1/6 (pow.f64 x 4) (*.f64 31/360 (pow.f64 x 6)))) |
(fma.f64 x x (fma.f64 31/360 (pow.f64 x 6) (*.f64 1/6 (pow.f64 x 4)))) |
(+.f64 (*.f64 173/5040 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 173/5040 (pow.f64 x 8) (fma.f64 1/6 (pow.f64 x 4) (fma.f64 31/360 (pow.f64 x 6) (*.f64 x x)))) |
(fma.f64 173/5040 (pow.f64 x 8) (fma.f64 x x (fma.f64 1/6 (pow.f64 x 4) (*.f64 31/360 (pow.f64 x 6))))) |
(fma.f64 1/6 (pow.f64 x 4) (fma.f64 31/360 (pow.f64 x 6) (fma.f64 173/5040 (pow.f64 x 8) (*.f64 x x)))) |
(fma.f64 31/360 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 173/5040 1/6) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -2 1) |
(fma.f64 x (*.f64 x -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)) |
(fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 (*.f64 x x))) |
(fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 (*.f64 (pow.f64 x 6) 17/45))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 8) 62/315 (fma.f64 (pow.f64 x 6) 17/45 (*.f64 x x)))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x (*.f64 (pow.f64 x 8) 62/315)))) |
(fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 (*.f64 (pow.f64 x 8) 62/315)))) |
(fma.f64 (pow.f64 x 6) 17/45 (fma.f64 (pow.f64 x 8) 62/315 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) |
| 0.2b | (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) | |
| ✓ | 0.2b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.2b | (*.f64 (tan.f64 x) (sin.f64 x)) |
Compiled 55 to 16 computations (70.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 637× | log-prod_binary64 |
| 594× | prod-diff_binary64 |
| 310× | pow2_binary64 |
| 217× | pow1/3_binary64 |
| 208× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 1 | 237 | 29 |
| 2 | 3457 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) (sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))) (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (neg.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 1 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (neg.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 1 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (neg.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 1 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (neg.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (tan.f64 x) 2) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (neg.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (tan.f64 x) 2) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (neg.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (tan.f64 x) 2) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (pow.f64 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)) 2)) (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (+.f64 1 (pow.f64 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))) (neg.f64 (+.f64 1 (pow.f64 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 2))) (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 2) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 2)) (-.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)) 2)) (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (neg.f64 (/.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (neg.f64 (/.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 2) (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (/.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 2)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1))))) |
| 1× | egg-herbie |
| 603× | associate-/l*_binary64 |
| 444× | associate-/r*_binary64 |
| 432× | cancel-sign-sub-inv_binary64 |
| 420× | fma-def_binary64 |
| 354× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 522 |
| 1 | 95 | 515 |
| 2 | 225 | 513 |
| 3 | 723 | 513 |
| 4 | 3026 | 513 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -2 x) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x (*.f64 -2 x) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x)))) |
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (*.f64 x x)) |
(-.f64 (*.f64 (pow.f64 x 4) -2/3) (fma.f64 x x -1)) |
(-.f64 1 (fma.f64 x x (*.f64 2/3 (pow.f64 x 4)))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 6) -17/45)))) |
(+.f64 (-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (*.f64 x x)) (*.f64 (pow.f64 x 6) -17/45)) |
(fma.f64 (pow.f64 x 4) -2/3 (fma.f64 (pow.f64 x 6) -17/45 (-.f64 1 (*.f64 x x)))) |
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
Compiled 26914 to 17717 computations (34.2% saved)
39 alts after pruning (34 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 943 | 19 | 962 |
| Fresh | 17 | 15 | 32 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 4 | 7 |
| Total | 963 | 39 | 1002 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 1.1b | (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 26.1b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 1)) | |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) | |
| 0.4b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) | |
| ✓ | 31.5b | (fma.f64 x (*.f64 x -2) 1) |
| 0.5b | (-.f64 (-.f64 (+.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) 1) | |
| 31.7b | (cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -6 (*.f64 x x)) 3) 1) (+.f64 (*.f64 (*.f64 -6 (*.f64 x x)) (*.f64 -6 (*.f64 x x))) (-.f64 1 (*.f64 (*.f64 -6 (*.f64 x x)) 1))))) | |
| ▶ | 0.4b | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
| 0.4b | (/.f64 (-.f64 1 (*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (/.f64 (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 30.7b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) | |
| 0.3b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 4.8b | (/.f64 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (-.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1) 1) | |
| ▶ | 0.3b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 0.8b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 31.8b | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) | |
| 1.0b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 17.5b | (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -2) | |
| 0.4b | (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.7b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) | |
| ✓ | 0.3b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
| ✓ | 0.4b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) |
| 18.1b | (*.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 1)) | |
| 0.7b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) | |
| ▶ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 28.7b | (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| ▶ | 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) |
| ✓ | 0.3b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.7b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3))) | |
| 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) | |
| 0.5b | (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) | |
| 0.4b | (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| ✓ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.4b | (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 28.9b | 1 | |
| ▶ | 62.4b | (cbrt.f64 (*.f64 x (*.f64 x -6))) |
| 31.3b | (cbrt.f64 (+.f64 (*.f64 -6 (*.f64 x x)) 1)) |
Compiled 1238 to 924 computations (25.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (pow.f64 (tan.f64 x) 2) 1) |
| 0.1b | (-.f64 1 (pow.f64 (tan.f64 x) 2)) | |
| ✓ | 0.2b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.2b | (pow.f64 (tan.f64 x) 2) |
Compiled 35 to 23 computations (34.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.0ms | x | @ | 0 | (+.f64 (pow.f64 (tan.f64 x) 2) 1) |
| 0.0ms | x | @ | inf | (+.f64 (pow.f64 (tan.f64 x) 2) 1) |
| 1× | batch-egg-rewrite |
| 633× | unpow-prod-down_binary64 |
| 441× | log-prod_binary64 |
| 376× | prod-diff_binary64 |
| 249× | pow2_binary64 |
| 188× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 205 | 29 |
| 2 | 2715 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(+.f64 (pow.f64 (tan.f64 x) 2) 1) |
| Outputs |
|---|
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1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) 3) (sqrt.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) 1))))) |
| 1× | egg-herbie |
| 598× | associate-/l*_binary64 |
| 441× | associate-/r*_binary64 |
| 360× | fma-def_binary64 |
| 351× | *-commutative_binary64 |
| 332× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 515 |
| 1 | 89 | 509 |
| 2 | 204 | 507 |
| 3 | 581 | 507 |
| 4 | 2440 | 507 |
| 5 | 7496 | 507 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 -4/45 (pow.f64 x 6) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (*.f64 x x))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(+.f64 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x 1)) (*.f64 (pow.f64 x 6) 17/45)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x 1))) |
(fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 2/3 (pow.f64 x 4) 1))) |
(fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) 1))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x (*.f64 x -6)) |
| ✓ | 31.0b | (cbrt.f64 (*.f64 x (*.f64 x -6))) |
Compiled 17 to 11 computations (35.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (cbrt.f64 (*.f64 x (*.f64 x -6))) |
| 1.0ms | x | @ | inf | (cbrt.f64 (*.f64 x (*.f64 x -6))) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (*.f64 x (*.f64 x -6))) |
| 1.0ms | x | @ | inf | (*.f64 x (*.f64 x -6)) |
| 1.0ms | x | @ | 0 | (*.f64 x (*.f64 x -6)) |
| 1× | batch-egg-rewrite |
| 522× | pow1_binary64 |
| 507× | add-sqr-sqrt_binary64 |
| 487× | add-log-exp_binary64 |
| 487× | log1p-expm1-u_binary64 |
| 487× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 120 | 16 |
| 2 | 1348 | 16 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 x (*.f64 x -6))) |
(*.f64 x (*.f64 x -6)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x (*.f64 x -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -6)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6))) (cbrt.f64 (*.f64 x (sqrt.f64 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 1/3) (cbrt.f64 -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (sqrt.f64 -6)) 1/3) (pow.f64 (*.f64 x (sqrt.f64 -6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x -6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 -6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (*.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -6))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -6)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 441× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 105 | 84 |
| 5 | 331 | 84 |
| 6 | 1250 | 84 |
| 7 | 2123 | 84 |
| 8 | 2287 | 84 |
| 9 | 2471 | 84 |
| 10 | 2679 | 84 |
| 11 | 2976 | 84 |
| 12 | 3371 | 84 |
| 13 | 3852 | 84 |
| 14 | 4418 | 84 |
| 15 | 5102 | 84 |
| 16 | 5935 | 84 |
| 17 | 6327 | 84 |
| 18 | 6619 | 84 |
| 19 | 6895 | 84 |
| 20 | 6969 | 84 |
| 21 | 7003 | 84 |
| 22 | 7944 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (*.f64 x x)) |
(*.f64 x (*.f64 -6 x)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (*.f64 x x)) |
(*.f64 x (*.f64 -6 x)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (*.f64 x x)) |
(*.f64 x (*.f64 -6 x)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (*.f64 x x)) |
(*.f64 x (*.f64 -6 x)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (*.f64 x x)) |
(*.f64 x (*.f64 -6 x)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (*.f64 x x)) |
(*.f64 x (*.f64 -6 x)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (*.f64 x x)) |
(*.f64 x (*.f64 -6 x)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (*.f64 x x)) |
(*.f64 x (*.f64 -6 x)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (*.f64 x x)) |
(*.f64 x (*.f64 -6 x)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (*.f64 x x)) |
(*.f64 x (*.f64 -6 x)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (*.f64 x x)) |
(*.f64 x (*.f64 -6 x)) |
(*.f64 -6 (pow.f64 x 2)) |
(*.f64 -6 (*.f64 x x)) |
(*.f64 x (*.f64 -6 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (-.f64 1 (pow.f64 (tan.f64 x) 2)) | |
| ✓ | 0.1b | (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| ✓ | 0.2b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 0.2b | (pow.f64 (tan.f64 x) 2) |
Compiled 50 to 34 computations (32% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 2.0ms | x | @ | -inf | (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 2.0ms | x | @ | inf | (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 1.0ms | x | @ | -inf | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 1× | batch-egg-rewrite |
| 497× | log-prod_binary64 |
| 286× | pow-prod-down_binary64 |
| 271× | pow2_binary64 |
| 250× | prod-diff_binary64 |
| 195× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 1 | 227 | 40 |
| 2 | 2995 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) 1) (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 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egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1) -1)))))) |
| 1× | egg-herbie |
| 598× | associate-/l*_binary64 |
| 441× | associate-/r*_binary64 |
| 439× | *-commutative_binary64 |
| 392× | fma-def_binary64 |
| 332× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 674 |
| 1 | 97 | 670 |
| 2 | 219 | 668 |
| 3 | 657 | 668 |
| 4 | 2675 | 668 |
| 5 | 7747 | 668 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 10/3 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 244/45 (pow.f64 x 6)) (*.f64 10/3 (pow.f64 x 4))))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) (fma.f64 -4/45 (pow.f64 x 6) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 1) |
(fma.f64 2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 2) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 10/3 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) 10/3)) |
(fma.f64 2 (*.f64 x x) (fma.f64 (pow.f64 x 4) 10/3 1)) |
(fma.f64 (pow.f64 x 4) 10/3 (fma.f64 x (*.f64 x 2) 1)) |
(fma.f64 x (*.f64 x 2) (fma.f64 (pow.f64 x 4) 10/3 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 244/45 (pow.f64 x 6)) (*.f64 10/3 (pow.f64 x 4))))) |
(+.f64 (fma.f64 2 (*.f64 x x) 1) (fma.f64 244/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 10/3))) |
(+.f64 (fma.f64 2 (*.f64 x x) 1) (fma.f64 (pow.f64 x 4) 10/3 (*.f64 (pow.f64 x 6) 244/45))) |
(fma.f64 x (*.f64 x 2) (fma.f64 (pow.f64 x 4) 10/3 (fma.f64 (pow.f64 x 6) 244/45 1))) |
(fma.f64 x (*.f64 x 2) (fma.f64 (pow.f64 x 6) 244/45 (fma.f64 (pow.f64 x 4) 10/3 1))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) |
| 0.2b | (pow.f64 (tan.f64 x) 2) | |
| ✓ | 0.3b | (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2) |
| ✓ | 0.4b | (pow.f64 (tan.f64 x) 4) |
Compiled 50 to 34 computations (32% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) |
| 1.0ms | x | @ | inf | (pow.f64 (tan.f64 x) 4) |
| 1.0ms | x | @ | -inf | (pow.f64 (tan.f64 x) 4) |
| 1.0ms | x | @ | inf | (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2) |
| 1× | batch-egg-rewrite |
| 576× | prod-diff_binary64 |
| 525× | log-prod_binary64 |
| 306× | pow2_binary64 |
| 284× | fma-def_binary64 |
| 208× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 1 | 271 | 38 |
| 2 | 3335 | 38 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (tan.f64 x) 4) |
(pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 868× | times-frac_binary64 |
| 746× | fma-def_binary64 |
| 723× | associate-*l*_binary64 |
| 627× | associate-*r*_binary64 |
| 299× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 740 |
| 1 | 140 | 736 |
| 2 | 343 | 734 |
| 3 | 1179 | 734 |
| 4 | 7820 | 590 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 4) |
(+.f64 (*.f64 4/3 (pow.f64 x 6)) (pow.f64 x 4)) |
(+.f64 (*.f64 4/3 (pow.f64 x 6)) (+.f64 (*.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4))) |
(+.f64 (*.f64 848/945 (pow.f64 x 10)) (+.f64 (*.f64 4/3 (pow.f64 x 6)) (+.f64 (*.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4)))) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
1 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 7/3 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 94/45 (pow.f64 x 6)) (*.f64 7/3 (pow.f64 x 4))))) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
| Outputs |
|---|
(pow.f64 x 4) |
(+.f64 (*.f64 4/3 (pow.f64 x 6)) (pow.f64 x 4)) |
(fma.f64 4/3 (pow.f64 x 6) (pow.f64 x 4)) |
(+.f64 (*.f64 4/3 (pow.f64 x 6)) (+.f64 (*.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4))) |
(fma.f64 4/3 (pow.f64 x 6) (fma.f64 6/5 (pow.f64 x 8) (pow.f64 x 4))) |
(+.f64 (*.f64 848/945 (pow.f64 x 10)) (+.f64 (*.f64 4/3 (pow.f64 x 6)) (+.f64 (*.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4)))) |
(fma.f64 848/945 (pow.f64 x 10) (fma.f64 4/3 (pow.f64 x 6) (fma.f64 6/5 (pow.f64 x 8) (pow.f64 x 4)))) |
(fma.f64 4/3 (pow.f64 x 6) (fma.f64 848/945 (pow.f64 x 10) (fma.f64 6/5 (pow.f64 x 8) (pow.f64 x 4)))) |
(fma.f64 6/5 (pow.f64 x 8) (fma.f64 848/945 (pow.f64 x 10) (fma.f64 4/3 (pow.f64 x 6) (pow.f64 x 4)))) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) |
1 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 1) |
(fma.f64 2 (*.f64 x x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 7/3 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) 7/3)) |
(fma.f64 2 (*.f64 x x) (fma.f64 (pow.f64 x 4) 7/3 1)) |
(fma.f64 x (*.f64 x 2) (fma.f64 (pow.f64 x 4) 7/3 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 94/45 (pow.f64 x 6)) (*.f64 7/3 (pow.f64 x 4))))) |
(+.f64 (fma.f64 2 (*.f64 x x) 1) (fma.f64 94/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 7/3))) |
(+.f64 (fma.f64 2 (*.f64 x x) 1) (fma.f64 (pow.f64 x 6) 94/45 (*.f64 (pow.f64 x 4) 7/3))) |
(fma.f64 x (*.f64 x 2) (fma.f64 (pow.f64 x 4) 7/3 (fma.f64 (pow.f64 x 6) 94/45 1))) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4) |
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) |
(pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -2 1) |
(fma.f64 x (*.f64 x -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 1)) |
(fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 4) 2/3 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) -4/45 (fma.f64 (*.f64 x x) -2 1))) |
(fma.f64 (pow.f64 x 6) -4/45 (fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 1))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (hypot.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 4)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (-.f64 1 (pow.f64 (tan.f64 x) 2)) | |
| 0.2b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.2b | (pow.f64 (tan.f64 x) 2) | |
| ✓ | 0.3b | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
Compiled 64 to 44 computations (31.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
| 0.0ms | x | @ | inf | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
| 0.0ms | x | @ | -inf | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
| 1× | batch-egg-rewrite |
| 477× | log-prod_binary64 |
| 381× | prod-diff_binary64 |
| 266× | pow2_binary64 |
| 261× | pow-prod-down_binary64 |
| 211× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 224 | 20 |
| 2 | 2831 | 20 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) (sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))) (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))) (*.f64 1/3 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) (*.f64 2 (*.f64 1/3 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) (*.f64 1/2 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 1))) (fma.f64 (neg.f64 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(tan.f64 x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -2) (pow.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2) 2)) (+.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))))))) |
| 1× | egg-herbie |
| 771× | fma-def_binary64 |
| 604× | associate-/l*_binary64 |
| 604× | distribute-neg-frac_binary64 |
| 441× | associate-/r*_binary64 |
| 332× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 336 |
| 1 | 68 | 334 |
| 2 | 147 | 334 |
| 3 | 440 | 334 |
| 4 | 1826 | 334 |
| 5 | 7152 | 334 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 -4/45 (pow.f64 x 6) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
Compiled 29442 to 20766 computations (29.5% saved)
38 alts after pruning (29 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1005 | 16 | 1021 |
| Fresh | 16 | 13 | 29 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 9 | 9 |
| Total | 1022 | 38 | 1060 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.3b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 26.6b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) 1) | |
| 0.6b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) | |
| 0.4b | (/.f64 (-.f64 1 (-.f64 (+.f64 (pow.f64 (tan.f64 x) 4) 1) 1)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) | |
| ✓ | 31.5b | (fma.f64 x (*.f64 x -2) 1) |
| 31.8b | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) | |
| 0.5b | (-.f64 (-.f64 (+.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) 1) | |
| 0.4b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))) | |
| 0.4b | (/.f64 (-.f64 1 (*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) | |
| ✓ | 0.3b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 0.4b | (*.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) | |
| 17.5b | (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -2) | |
| 0.4b | (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.5b | (/.f64 (-.f64 1 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) | |
| 1.0b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ✓ | 0.3b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
| ✓ | 0.4b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) |
| 0.4b | (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| ✓ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 28.7b | (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.7b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3))) | |
| 62.1b | (*.f64 (cbrt.f64 (*.f64 x -6)) (cbrt.f64 x)) | |
| ✓ | 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) |
| 31.0b | (/.f64 1 (fma.f64 x (*.f64 x 2) 1)) | |
| ✓ | 0.3b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) | |
| 0.5b | (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) | |
| ✓ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.4b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) | |
| 28.9b | 1 | |
| 0.4b | (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 26.1b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 1)) | |
| ✓ | 62.4b | (cbrt.f64 (*.f64 x (*.f64 x -6))) |
| 0.4b | (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) | |
| 0.5b | (*.f64 1/3 (*.f64 3 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))) | |
| 31.3b | (cbrt.f64 (+.f64 (*.f64 -6 (*.f64 x x)) 1)) |
Compiled 564 to 434 computations (23% saved)
| Inputs |
|---|
1 |
1 |
(cbrt.f64 (*.f64 x (*.f64 x -6))) |
(fma.f64 x (*.f64 x -2) 1) |
(/.f64 1 (fma.f64 x (*.f64 x 2) 1)) |
(cbrt.f64 (+.f64 (*.f64 -6 (*.f64 x x)) 1)) |
(*.f64 (cbrt.f64 (*.f64 x -6)) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) 1) |
(/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(cbrt.f64 (+.f64 1 (*.f64 -6 (pow.f64 x 2)))) |
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -6 (*.f64 x x)) 3) 1) (+.f64 (*.f64 (*.f64 -6 (*.f64 x x)) (*.f64 -6 (*.f64 x x))) (-.f64 1 (*.f64 (*.f64 -6 (*.f64 x x)) 1))))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
(-.f64 (-.f64 (+.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) 1) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) |
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(*.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) |
(*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) |
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) |
(*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) |
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))))) |
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(*.f64 1/3 (*.f64 3 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))) |
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1) 1) |
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (-.f64 (+.f64 (pow.f64 (tan.f64 x) 4) 1) 1)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) |
(pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -2) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6)))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) |
(/.f64 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) |
(/.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))) |
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6)) |
(-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) |
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -1)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
(/.f64 (-.f64 1 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) |
(*.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 1)) |
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (*.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) |
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) 2)))) |
| Outputs |
|---|
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
6 calls:
| 55.0ms | x |
| 52.0ms | (tan.f64 x) |
| 43.0ms | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 43.0ms | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 30.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.3b | 1 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.3b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 0.3b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 0.3b | 1 | (tan.f64 x) |
Compiled 1593 to 980 computations (38.5% saved)
| Inputs |
|---|
1 |
1 |
(cbrt.f64 (*.f64 x (*.f64 x -6))) |
(fma.f64 x (*.f64 x -2) 1) |
(/.f64 1 (fma.f64 x (*.f64 x 2) 1)) |
(cbrt.f64 (+.f64 (*.f64 -6 (*.f64 x x)) 1)) |
(*.f64 (cbrt.f64 (*.f64 x -6)) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) 1) |
(/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(cbrt.f64 (+.f64 1 (*.f64 -6 (pow.f64 x 2)))) |
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -6 (*.f64 x x)) 3) 1) (+.f64 (*.f64 (*.f64 -6 (*.f64 x x)) (*.f64 -6 (*.f64 x x))) (-.f64 1 (*.f64 (*.f64 -6 (*.f64 x x)) 1))))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
(-.f64 (-.f64 (+.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) 1) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) |
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
6 calls:
| 18.0ms | (tan.f64 x) |
| 18.0ms | x |
| 15.0ms | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 15.0ms | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 12.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.3b | 1 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.3b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 0.3b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 0.3b | 1 | (tan.f64 x) |
Compiled 469 to 300 computations (36% saved)
| Inputs |
|---|
1 |
1 |
(cbrt.f64 (*.f64 x (*.f64 x -6))) |
(fma.f64 x (*.f64 x -2) 1) |
(/.f64 1 (fma.f64 x (*.f64 x 2) 1)) |
(cbrt.f64 (+.f64 (*.f64 -6 (*.f64 x x)) 1)) |
(*.f64 (cbrt.f64 (*.f64 x -6)) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) 1) |
(/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(cbrt.f64 (+.f64 1 (*.f64 -6 (pow.f64 x 2)))) |
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -6 (*.f64 x x)) 3) 1) (+.f64 (*.f64 (*.f64 -6 (*.f64 x x)) (*.f64 -6 (*.f64 x x))) (-.f64 1 (*.f64 (*.f64 -6 (*.f64 x x)) 1))))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 1)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 1)) |
3 calls:
| 63.0ms | (tan.f64 x) |
| 10.0ms | x |
| 7.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 26.1b | 1 | x |
| 26.1b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 26.1b | 1 | (tan.f64 x) |
Compiled 192 to 120 computations (37.5% saved)
| Inputs |
|---|
1 |
1 |
(cbrt.f64 (*.f64 x (*.f64 x -6))) |
(fma.f64 x (*.f64 x -2) 1) |
(/.f64 1 (fma.f64 x (*.f64 x 2) 1)) |
(cbrt.f64 (+.f64 (*.f64 -6 (*.f64 x x)) 1)) |
(*.f64 (cbrt.f64 (*.f64 x -6)) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) 1) |
(/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(cbrt.f64 (+.f64 1 (*.f64 -6 (pow.f64 x 2)))) |
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -6 (*.f64 x x)) 3) 1) (+.f64 (*.f64 (*.f64 -6 (*.f64 x x)) (*.f64 -6 (*.f64 x x))) (-.f64 1 (*.f64 (*.f64 -6 (*.f64 x x)) 1))))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) 1) |
4 calls:
| 10.0ms | x |
| 9.0ms | (tan.f64 x) |
| 8.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 6.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 26.6b | 1 | x |
| 26.6b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 26.6b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 26.6b | 1 | (tan.f64 x) |
Compiled 188 to 118 computations (37.2% saved)
Total -34.2b remaining (-118.4%)
Threshold costs -34.2b (-118.4%)
| Inputs |
|---|
1 |
1 |
(cbrt.f64 (*.f64 x (*.f64 x -6))) |
(fma.f64 x (*.f64 x -2) 1) |
(/.f64 1 (fma.f64 x (*.f64 x 2) 1)) |
(cbrt.f64 (+.f64 (*.f64 -6 (*.f64 x x)) 1)) |
(*.f64 (cbrt.f64 (*.f64 x -6)) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 -6 (*.f64 x x) 1)) |
| Outputs |
|---|
1 |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 28.9b | 1 | x |
Compiled 47 to 33 computations (29.8% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 63 |
| 1 | 35 | 63 |
| 2 | 47 | 63 |
| 3 | 54 | 63 |
| 4 | 57 | 63 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) 1) |
1 |
| Outputs |
|---|
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (cbrt.f64 1)) |
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) 1) |
(-.f64 1 (pow.f64 (tan.f64 x) 4)) |
1 |
Compiled 46 to 34 computations (26.1% saved)
Compiled 42 to 27 computations (35.7% saved)
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