Time bar (total: 10.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 11 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 17 to 9 computations (47.1% saved)
| 709.0ms | 2110× | body | 1024 | valid |
| 642.0ms | 5116× | body | 256 | valid |
| 249.0ms | 1027× | body | 512 | valid |
| 1.0ms | 3× | 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 |
|---|---|---|
| ▶ | 0.4b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| ▶ | 0.4b | (/.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 |
|---|---|---|
| ✓ | 0.1b | (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) |
| ✓ | 0.2b | (-.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)))) |
| ✓ | 0.3b | (*.f64 (tan.f64 x) (tan.f64 x)) |
Compiled 39 to 13 computations (66.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 2.0ms | x | @ | inf | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 2.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 2.0ms | 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) |
| 0.2b | (-.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)) |
| 0.3b | (*.f64 (tan.f64 x) (tan.f64 x)) |
Compiled 37 to 13 computations (64.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | 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)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.0ms | x | @ | inf | (fma.f64 (tan.f64 x) (tan.f64 x) 1) |
| 0.0ms | x | @ | 0 | (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)
43 alts after pruning (43 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 504 | 43 | 547 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 506 | 43 | 549 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (/.f64 (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) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.5b | (/.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)) | |
| 1.1b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) | |
| 0.5b | (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 1.6b | (/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.5b | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.6b | (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 1.2b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 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))) | |
| 0.4b | (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.6b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) | |
| ▶ | 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 34.2b | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) | |
| 1.2b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 3)) | |
| 34.3b | (fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) | |
| ▶ | 0.6b | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.4b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 32.0b | (/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ▶ | 34.2b | (fma.f64 x (*.f64 x -2) 1) |
| ▶ | 0.9b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) |
| 32.1b | (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.9b | (/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.7b | (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))) | |
| 0.5b | (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) | |
| 31.4b | 1 | |
| 33.3b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) | |
| 0.6b | (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))) | |
| 18.4b | (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2) | |
| 0.6b | (*.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))) | |
| 0.6b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.9b | (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))) | |
| 0.5b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) | |
| 0.5b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) | |
| 34.3b | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) | |
| 1.1b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.9b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) | |
| ▶ | 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.5b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6)))) | |
| 34.2b | (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.5b | (log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 23.0b | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 3) 2/3)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.5b | (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
Compiled 1488 to 1066 computations (28.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 1 (pow.f64 (tan.f64 x) 2)) |
| ✓ | 0.2b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.3b | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| ✓ | 0.3b | (pow.f64 (tan.f64 x) 2) |
Compiled 42 to 20 computations (52.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (pow.f64 (tan.f64 x) 2) |
| 0.0ms | x | @ | inf | (pow.f64 (tan.f64 x) 2) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.0ms | x | @ | -inf | (pow.f64 (tan.f64 x) 2) |
| 1× | batch-egg-rewrite |
| 640× | unpow-prod-down_binary64 |
| 439× | log-prod_binary64 |
| 381× | prod-diff_binary64 |
| 247× | pow2_binary64 |
| 239× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 223 | 35 |
| 2 | 2668 | 35 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (tan.f64 x) 2) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 1 (pow.f64 (tan.f64 x) 2)) |
| Outputs |
|---|
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((#(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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| 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))) |
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) | |
| 0.2b | (-.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)) |
| 0.3b | (pow.f64 (tan.f64 x) 2) |
Compiled 35 to 19 computations (45.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.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 | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 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 | 20 |
| 1 | 198 | 20 |
| 2 | 2507 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (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 (exp.f64 (log1p.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 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 (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 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 (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 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) (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 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 (-.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)))))))) |
| 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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.3b | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| ✓ | 0.6b | (pow.f64 (tan.f64 x) 6) |
| ✓ | 10.6b | (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3) |
Compiled 53 to 29 computations (45.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | inf | (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3) |
| 3.0ms | x | @ | -inf | (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3) |
| 1.0ms | x | @ | 0 | (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1× | batch-egg-rewrite |
| 545× | prod-diff_binary64 |
| 502× | log-prod_binary64 |
| 293× | pow2_binary64 |
| 278× | pow-prod-down_binary64 |
| 214× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 1 | 275 | 32 |
| 2 | 3175 | 32 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (tan.f64 x) 6) 1/3) |
(pow.f64 (tan.f64 x) 6) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Outputs |
|---|
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(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 (pow.f64 (tan.f64 x) 6) 1)) (+.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 |
| 809× | fma-def_binary64 |
| 595× | times-frac_binary64 |
| 428× | distribute-lft-out_binary64 |
| 247× | sqr-pow_binary64 |
| 226× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 676 |
| 1 | 137 | 674 |
| 2 | 334 | 674 |
| 3 | 1106 | 674 |
| 4 | 4700 | 650 |
| 5 | 5925 | 650 |
| 6 | 7224 | 650 |
| 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)) |
(pow.f64 x 6) |
(+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6)) |
(+.f64 (*.f64 37/15 (pow.f64 x 10)) (+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6))) |
(+.f64 (*.f64 2266/945 (pow.f64 x 12)) (+.f64 (*.f64 37/15 (pow.f64 x 10)) (+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6)))) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
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 |
|---|
(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 (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)) |
(pow.f64 x 6) |
(+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6)) |
(fma.f64 2 (pow.f64 x 8) (pow.f64 x 6)) |
(+.f64 (*.f64 37/15 (pow.f64 x 10)) (+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6))) |
(fma.f64 37/15 (pow.f64 x 10) (fma.f64 2 (pow.f64 x 8) (pow.f64 x 6))) |
(fma.f64 2 (pow.f64 x 8) (fma.f64 37/15 (pow.f64 x 10) (pow.f64 x 6))) |
(+.f64 (*.f64 2266/945 (pow.f64 x 12)) (+.f64 (*.f64 37/15 (pow.f64 x 10)) (+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6)))) |
(fma.f64 2266/945 (pow.f64 x 12) (fma.f64 37/15 (pow.f64 x 10) (fma.f64 2 (pow.f64 x 8) (pow.f64 x 6)))) |
(fma.f64 2266/945 (pow.f64 x 12) (fma.f64 2 (pow.f64 x 8) (fma.f64 37/15 (pow.f64 x 10) (pow.f64 x 6)))) |
(fma.f64 37/15 (pow.f64 x 10) (fma.f64 2 (pow.f64 x 8) (fma.f64 2266/945 (pow.f64 x 12) (pow.f64 x 6)))) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 6) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 6) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 6) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 6) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 6) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 6) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 6) |
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 6) |
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)) |
(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 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) (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)) |
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))) |
| 0.3b | (pow.f64 (tan.f64 x) 2) | |
| ✓ | 0.3b | (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| ✓ | 0.4b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) |
Compiled 66 to 46 computations (30.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) |
| 4.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) |
| 0.0ms | x | @ | inf | (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 0.0ms | x | @ | 0 | (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 1× | batch-egg-rewrite |
| 506× | log-prod_binary64 |
| 381× | prod-diff_binary64 |
| 299× | pow-prod-down_binary64 |
| 283× | pow2_binary64 |
| 202× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 62 |
| 1 | 268 | 62 |
| 2 | 3125 | 62 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) |
(cbrt.f64 (/.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 (*.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 (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 (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 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2) (cbrt.f64 (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 (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 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (sqrt.f64 (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 (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 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (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 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.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 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (pow.f64 (tan.f64 x) 2) (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (pow.f64 (tan.f64 x) 2) (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (neg.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (pow.f64 (tan.f64 x) 2) (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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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 log.f64 (exp.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 log.f64 (+.f64 1 (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 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 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 (+.f64 1 (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 |
| 633× | associate-/l*_binary64 |
| 443× | associate-/r*_binary64 |
| 406× | fma-def_binary64 |
| 344× | unswap-sqr_binary64 |
| 331× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 1076 |
| 1 | 112 | 1022 |
| 2 | 246 | 1020 |
| 3 | 721 | 1018 |
| 4 | 2794 | 1018 |
| 5 | 7799 | 1018 |
| 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
1 |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -2/9 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -2/9 (pow.f64 x 4)) (+.f64 (*.f64 -2/3 (pow.f64 x 2)) (*.f64 -92/405 (pow.f64 x 6))))) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
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)))) |
| 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)) |
(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 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -2/3)) |
(fma.f64 (*.f64 x x) -2/3 1) |
(fma.f64 x (*.f64 x -2/3) 1) |
(+.f64 1 (+.f64 (*.f64 -2/9 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 -2/9 (pow.f64 x 4) (*.f64 (*.f64 x x) -2/3))) |
(+.f64 1 (fma.f64 (*.f64 x x) -2/3 (*.f64 (pow.f64 x 4) -2/9))) |
(fma.f64 x (*.f64 x -2/3) (fma.f64 (pow.f64 x 4) -2/9 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -2/9) -2/3) 1) |
(+.f64 1 (+.f64 (*.f64 -2/9 (pow.f64 x 4)) (+.f64 (*.f64 -2/3 (pow.f64 x 2)) (*.f64 -92/405 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 -2/9 (pow.f64 x 4) (fma.f64 -2/3 (*.f64 x x) (*.f64 (pow.f64 x 6) -92/405)))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) -2/9 (fma.f64 (pow.f64 x 6) -92/405 (*.f64 x (*.f64 x -2/3))))) |
(+.f64 1 (fma.f64 x (*.f64 x -2/3) (fma.f64 (pow.f64 x 6) -92/405 (*.f64 (pow.f64 x 4) -2/9)))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -2/9) -2/3) (fma.f64 (pow.f64 x 6) -92/405 1)) |
(fma.f64 x (*.f64 x -2/3) (fma.f64 (pow.f64 x 6) -92/405 (fma.f64 (pow.f64 x 4) -2/9 1))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.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))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.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))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.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))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.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))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.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))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.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))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.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))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.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))) |
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)) |
(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 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (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 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 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 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 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 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 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 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 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 30931 to 20754 computations (32.9% saved)
42 alts after pruning (39 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 980 | 28 | 1008 |
| Fresh | 27 | 11 | 38 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 2 | 4 |
| Total | 1009 | 42 | 1051 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (/.f64 (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) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.9b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) | |
| 34.2b | (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 1.1b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) | |
| 0.5b | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.7b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) | |
| 34.3b | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) | |
| 0.5b | (log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.4b | (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 34.2b | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) | |
| 0.5b | (*.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))) | |
| 1.2b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 3)) | |
| 0.8b | (/.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)) | |
| 0.6b | (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| ▶ | 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))) |
| 0.9b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) | |
| ✓ | 34.2b | (fma.f64 x (*.f64 x -2) 1) |
| 0.6b | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| ✓ | 0.9b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) |
| 0.5b | (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.9b | (/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.5b | (/.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) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 31.4b | 1 | |
| 1.3b | (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 3) | |
| 0.6b | (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))) | |
| 0.9b | (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))) | |
| 0.5b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) | |
| 1.0b | (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) | |
| 0.5b | (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.5b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) | |
| 1.1b | (/.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 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| ▶ | 34.5b | (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3) |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) | |
| 1.6b | (/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ✓ | 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 32.1b | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) | |
| 33.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 x x))) | |
| ▶ | 0.5b | (/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.6b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.4b | (expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
Compiled 1378 to 1042 computations (24.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (+.f64 (pow.f64 (tan.f64 x) 2) 1) |
| 0.2b | (-.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)) |
| 0.3b | (pow.f64 (tan.f64 x) 2) |
Compiled 35 to 23 computations (34.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 | @ | -inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.0ms | x | @ | inf | (+.f64 (pow.f64 (tan.f64 x) 2) 1) |
| 0.0ms | x | @ | 0 | (+.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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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (pow.f64 (/.f64 1 (+.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (tan.f64 x) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 1 (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 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) (hypot.f64 1 (tan.f64 x))) 1/3) (cbrt.f64 (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 1 (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 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (+.f64 (pow.f64 (tan.f64 x) 4) -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) 2)) (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) 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 /.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (neg.f64 (+.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1)) (neg.f64 (+.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 (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 (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 pow.f64 (/.f64 (+.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (tan.f64 x) 4)) (+.f64 1 (pow.f64 (tan.f64 x) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) -1) (+.f64 (pow.f64 (tan.f64 x) 4) -1)) -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 (+.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 (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 (+.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 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 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 (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)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)) 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 (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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3) |
| ✓ | 0.1b | (fma.f64 x (*.f64 x -2/3) 1) |
| ✓ | 0.3b | (*.f64 x -2/3) |
Compiled 22 to 16 computations (27.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (fma.f64 x (*.f64 x -2/3) 1) |
| 1.0ms | x | @ | -inf | (fma.f64 x (*.f64 x -2/3) 1) |
| 1.0ms | x | @ | 0 | (*.f64 x -2/3) |
| 1.0ms | x | @ | inf | (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3) |
| 1.0ms | x | @ | -inf | (*.f64 x -2/3) |
| 1× | batch-egg-rewrite |
| 642× | pow1_binary64 |
| 601× | add-log-exp_binary64 |
| 600× | log1p-expm1-u_binary64 |
| 600× | expm1-log1p-u_binary64 |
| 588× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 163 | 23 |
| 2 | 1653 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x -2/3) |
(fma.f64 x (*.f64 x -2/3) 1) |
(pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -2/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -2/3)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x -2/3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -2/3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -2/3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) (sqrt.f64 (fma.f64 x (*.f64 x -2/3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -2/3)) 3) 1) (+.f64 (*.f64 (*.f64 x (*.f64 x -2/3)) (*.f64 x (*.f64 x -2/3))) (-.f64 1 (*.f64 (*.f64 x (*.f64 x -2/3)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -2/3)) (*.f64 x (*.f64 x -2/3))) 1) (-.f64 (*.f64 x (*.f64 x -2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -2/3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -2/3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -2/3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -2/3) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -2/3)) (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 2)) (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 2) (*.f64 x (*.f64 x -2/3))) (*.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -2/3) 1) (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 2) (fma.f64 x (*.f64 x -2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3/2) (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) 2) 3) (fma.f64 x (*.f64 x -2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) 3) (pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 2) 1) (fma.f64 x (*.f64 x -2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -2/3) 1)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -2/3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 2) (sqrt.f64 (fma.f64 x (*.f64 x -2/3) 1))) (sqrt.f64 (fma.f64 x (*.f64 x -2/3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x -2/3) 1)))))))) |
| 1× | egg-herbie |
| 1583× | fma-def_binary64 |
| 726× | sqr-pow_binary64 |
| 414× | cube-prod_binary64 |
| 388× | *-commutative_binary64 |
| 328× | pow-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 335 |
| 1 | 65 | 315 |
| 2 | 133 | 309 |
| 3 | 344 | 309 |
| 4 | 1189 | 309 |
| 5 | 2950 | 309 |
| 6 | 3535 | 309 |
| 7 | 3765 | 309 |
| 8 | 3960 | 309 |
| 9 | 4211 | 309 |
| 10 | 4526 | 309 |
| 11 | 5834 | 309 |
| 12 | 6269 | 309 |
| 13 | 6759 | 309 |
| 14 | 7362 | 309 |
| 15 | 7620 | 309 |
| 16 | 7868 | 309 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
1 |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(*.f64 -2/3 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(*.f64 -2/3 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 4/3 (pow.f64 x 4)))) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4))))) |
(*.f64 -8/27 (pow.f64 x 6)) |
(+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4))) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4))))) |
(*.f64 -8/27 (pow.f64 x 6)) |
(+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4))) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4))))) |
| Outputs |
|---|
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
(*.f64 -2/3 x) |
1 |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (*.f64 x x))) |
(fma.f64 -2/3 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (*.f64 x x))) |
(fma.f64 -2/3 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (*.f64 x x))) |
(fma.f64 -2/3 (*.f64 x x) 1) |
(*.f64 -2/3 (pow.f64 x 2)) |
(*.f64 -2/3 (*.f64 x x)) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (*.f64 x x))) |
(fma.f64 -2/3 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (*.f64 x x))) |
(fma.f64 -2/3 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (*.f64 x x))) |
(fma.f64 -2/3 (*.f64 x x) 1) |
(*.f64 -2/3 (pow.f64 x 2)) |
(*.f64 -2/3 (*.f64 x x)) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (*.f64 x x))) |
(fma.f64 -2/3 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (*.f64 x x))) |
(fma.f64 -2/3 (*.f64 x x) 1) |
(+.f64 1 (*.f64 -2/3 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2/3 (*.f64 x x))) |
(fma.f64 -2/3 (*.f64 x 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 (pow.f64 x 2)) (+.f64 1 (*.f64 4/3 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 4/3 (pow.f64 x 4))) |
(fma.f64 (*.f64 x x) -2 (fma.f64 4/3 (pow.f64 x 4) 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 4/3 (pow.f64 x 4) 1)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x 4/3) -2)) 1) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (fma.f64 -8/27 (pow.f64 x 6) (*.f64 4/3 (pow.f64 x 4)))) |
(+.f64 (fma.f64 (*.f64 x x) -2 1) (fma.f64 4/3 (pow.f64 x 4) (*.f64 -8/27 (pow.f64 x 6)))) |
(fma.f64 x (*.f64 x -2) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -8/27 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -8/27 -2) (fma.f64 4/3 (pow.f64 x 4) 1)) |
(fma.f64 -8/27 (pow.f64 x 6) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x 4/3) -2)) 1)) |
(*.f64 -8/27 (pow.f64 x 6)) |
(+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4))) |
(fma.f64 -8/27 (pow.f64 x 6) (*.f64 4/3 (pow.f64 x 4))) |
(fma.f64 4/3 (pow.f64 x 4) (*.f64 -8/27 (pow.f64 x 6))) |
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -8/27) 4/3)) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4)))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 -8/27 (pow.f64 x 6) (*.f64 4/3 (pow.f64 x 4)))) |
(fma.f64 (*.f64 x x) -2 (fma.f64 4/3 (pow.f64 x 4) (*.f64 -8/27 (pow.f64 x 6)))) |
(fma.f64 x (*.f64 x -2) (fma.f64 4/3 (pow.f64 x 4) (*.f64 -8/27 (pow.f64 x 6)))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 4/3) -2) (*.f64 -8/27 (pow.f64 x 6))) |
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -8/27 (fma.f64 x (*.f64 x 4/3) -2))) |
(*.f64 x (fma.f64 x (fma.f64 (pow.f64 x 4) -8/27 -2) (*.f64 4/3 (pow.f64 x 3)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x 4/3) (fma.f64 (pow.f64 x 4) -8/27 -2))) |
(+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (fma.f64 -8/27 (pow.f64 x 6) (*.f64 4/3 (pow.f64 x 4)))) |
(+.f64 (fma.f64 (*.f64 x x) -2 1) (fma.f64 4/3 (pow.f64 x 4) (*.f64 -8/27 (pow.f64 x 6)))) |
(fma.f64 x (*.f64 x -2) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -8/27 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -8/27 -2) (fma.f64 4/3 (pow.f64 x 4) 1)) |
(fma.f64 -8/27 (pow.f64 x 6) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x 4/3) -2)) 1)) |
(*.f64 -8/27 (pow.f64 x 6)) |
(+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4))) |
(fma.f64 -8/27 (pow.f64 x 6) (*.f64 4/3 (pow.f64 x 4))) |
(fma.f64 4/3 (pow.f64 x 4) (*.f64 -8/27 (pow.f64 x 6))) |
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -8/27) 4/3)) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4)))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 -8/27 (pow.f64 x 6) (*.f64 4/3 (pow.f64 x 4)))) |
(fma.f64 (*.f64 x x) -2 (fma.f64 4/3 (pow.f64 x 4) (*.f64 -8/27 (pow.f64 x 6)))) |
(fma.f64 x (*.f64 x -2) (fma.f64 4/3 (pow.f64 x 4) (*.f64 -8/27 (pow.f64 x 6)))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 4/3) -2) (*.f64 -8/27 (pow.f64 x 6))) |
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -8/27 (fma.f64 x (*.f64 x 4/3) -2))) |
(*.f64 x (fma.f64 x (fma.f64 (pow.f64 x 4) -8/27 -2) (*.f64 4/3 (pow.f64 x 3)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x 4/3) (fma.f64 (pow.f64 x 4) -8/27 -2))) |
(+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -8/27 (pow.f64 x 6)) (*.f64 4/3 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (fma.f64 -8/27 (pow.f64 x 6) (*.f64 4/3 (pow.f64 x 4)))) |
(+.f64 (fma.f64 (*.f64 x x) -2 1) (fma.f64 4/3 (pow.f64 x 4) (*.f64 -8/27 (pow.f64 x 6)))) |
(fma.f64 x (*.f64 x -2) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -8/27 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -8/27 -2) (fma.f64 4/3 (pow.f64 x 4) 1)) |
(fma.f64 -8/27 (pow.f64 x 6) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x 4/3) -2)) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.3b | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| 0.3b | (pow.f64 (tan.f64 x) 2) | |
| ✓ | 2.1b | (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) |
Compiled 64 to 38 computations (40.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) |
| 1× | batch-egg-rewrite |
| 520× | prod-diff_binary64 |
| 464× | log-prod_binary64 |
| 349× | fma-def_binary64 |
| 266× | pow2_binary64 |
| 217× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 38 |
| 1 | 286 | 26 |
| 2 | 3680 | 26 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) |
(/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (tan.f64 x) 2) 0)))) (#(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 0 (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 (fma.f64 (tan.f64 x) (tan.f64 x) -1) 1)))) (#(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 1 (pow.f64 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((#(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 (/.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 +.f64 (fma.f64 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(pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (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)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.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 cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (pow.f64 (hypot.f64 1 (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)) (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 fma.f64 1 (/.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 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) 2) (cbrt.f64 (/.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 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (sqrt.f64 (/.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 (/.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 |
| 600× | associate-/l*_binary64 |
| 524× | distribute-rgt-out_binary64 |
| 520× | distribute-lft-out_binary64 |
| 502× | fma-def_binary64 |
| 460× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 506 |
| 1 | 99 | 504 |
| 2 | 230 | 504 |
| 3 | 702 | 504 |
| 4 | 3288 | 504 |
| 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)))) |
| 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 2/3 (pow.f64 x 4) (fma.f64 x x (*.f64 17/45 (pow.f64 x 6)))) |
(fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 2/3 (pow.f64 x 4)))) |
(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 62/315 (pow.f64 x 8) (fma.f64 x x (*.f64 17/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 62/315 (pow.f64 x 8))))) |
(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))) |
(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)))) |
(/.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) |
(+.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 (pow.f64 x 6) -4/45 (fma.f64 (*.f64 x x) -2 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 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) (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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 1 (/.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 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) |
| 0.3b | (*.f64 (tan.f64 x) (tan.f64 x)) |
Compiled 62 to 17 computations (72.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.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 | @ | 0 | (/.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 | 56 |
| 1 | 265 | 35 |
| 2 | 4058 | 35 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.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 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) |
| Outputs |
|---|
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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))) (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 (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) 4))) (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -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 (+.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)) 2) 1/2)))) (#(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 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6))) -1)))) (#(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) 4))) -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 (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 1 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 4) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(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 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (neg.f64 (cbrt.f64 (pow.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 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 2) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 4) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(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 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 4) (fma.f64 (tan.f64 x) (tan.f64 x) 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 -1 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (pow.f64 (tan.f64 x) 2)) 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) 4) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(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) 4) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))) |
| 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 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))) |
| ✓ | 0.2b | (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.3b | (pow.f64 (tan.f64 x) 2) | |
| ✓ | 0.4b | (pow.f64 (tan.f64 x) 4) |
Compiled 66 to 44 computations (33.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (pow.f64 (tan.f64 x) 4) |
| 4.0ms | x | @ | 0 | (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 1× | batch-egg-rewrite |
| 681× | log-prod_binary64 |
| 343× | fma-def_binary64 |
| 311× | fma-neg_binary64 |
| 258× | log-div_binary64 |
| 234× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 57 |
| 1 | 312 | 35 |
| 2 | 4411 | 35 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (tan.f64 x) 4) |
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (tan.f64 x) 4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 3) (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) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 8)) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 8)) (*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) 4) (pow.f64 (sqrt.f64 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (tan.f64 x) 4) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) 1)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) 1))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (tan.f64 x) 2)) (hypot.f64 1 (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 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (tan.f64 x) 4) (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (neg.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (tan.f64 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 x) 4) (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) -1)))))) (#(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 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 2)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1)) (/.f64 1 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.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 fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.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 fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1)) 2)) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -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 fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1))) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -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 fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (+.f64 (pow.f64 (tan.f64 x) 4) -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 fma.f64 (/.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 1) (/.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (+.f64 (pow.f64 (tan.f64 x) 4) -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 fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1)) 2)) (/.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -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 fma.f64 (/.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1)) 2)) (/.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -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 fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) 2) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1))) (/.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -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 fma.f64 (/.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1))) (/.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -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 fma.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) -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 fma.f64 (/.f64 1 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 4)) 1)) (-.f64 1 (pow.f64 (tan.f64 x) 2)) (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 fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (+.f64 (pow.f64 (tan.f64 x) 12) -1)) (+.f64 (pow.f64 (tan.f64 x) 8) (+.f64 (pow.f64 (tan.f64 x) 4) 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 fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (+.f64 (pow.f64 (tan.f64 x) 8) -1)) (+.f64 (pow.f64 (tan.f64 x) 4) 1) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))) |
| 1× | egg-herbie |
| 703× | fma-def_binary64 |
| 645× | associate-*l*_binary64 |
| 582× | times-frac_binary64 |
| 570× | associate-*r*_binary64 |
| 259× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 989 |
| 1 | 137 | 983 |
| 2 | 337 | 981 |
| 3 | 1114 | 981 |
| 4 | 6797 | 653 |
| 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 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 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
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 (-.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (*.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (*.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (*.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (*.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (*.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (*.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (*.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
| 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 4/3 (pow.f64 x 6) (fma.f64 6/5 (pow.f64 x 8) (fma.f64 848/945 (pow.f64 x 10) (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 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))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -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 (*.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 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(/.f64 (*.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -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 (-.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -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 (-.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -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 (-.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -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 (-.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -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 (-.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -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 (-.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -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 (-.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 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -1)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (+.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))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) -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)))) |
Compiled 33732 to 22431 computations (33.5% saved)
45 alts after pruning (41 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1213 | 23 | 1236 |
| Fresh | 16 | 18 | 34 |
| Picked | 0 | 1 | 1 |
| Done | 4 | 3 | 7 |
| Total | 1233 | 45 | 1278 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.7b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) | |
| 7.4b | (/.f64 (log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 34.3b | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) | |
| 0.5b | (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 0.5b | (*.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))) | |
| 1.2b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 3)) | |
| ▶ | 0.4b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| ✓ | 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))) |
| 0.9b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) | |
| 0.6b | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 28.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1) | |
| 34.5b | (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -2/3)) (*.f64 x (*.f64 x -2/3))) 1) (-.f64 (*.f64 x (*.f64 x -2/3)) 1)) 3) | |
| ✓ | 34.2b | (fma.f64 x (*.f64 x -2) 1) |
| 0.5b | (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.9b | (/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 1.3b | (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 3) | |
| 0.8b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (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)))) | |
| 34.2b | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) | |
| ▶ | 1.0b | (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) |
| ▶ | 0.5b | (/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| ▶ | 0.4b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.6b | (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (pow.f64 (tan.f64 x) 2)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.5b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) | |
| 1.1b | (/.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 (fma.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1) 1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ✓ | 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.6b | (/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1))) | |
| 0.6b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) 1))) | |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) | |
| ✓ | 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.4b | (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 0.6b | (*.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 32.1b | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) | |
| 63.0b | (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x 4/3) (fma.f64 (pow.f64 x 4) -8/27 -2))) | |
| 0.6b | (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 1.7b | (/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 31.4b | 1 | |
| 34.5b | (pow.f64 (+.f64 (*.f64 x (*.f64 x -2/3)) 1) 3) | |
| 0.4b | (expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 1.1b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) | |
| ▶ | 62.9b | (*.f64 -8/27 (pow.f64 x 6)) |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) 1)) |
Compiled 1432 to 1105 computations (22.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (+.f64 (pow.f64 (tan.f64 x) 2) 1) | |
| ✓ | 0.2b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.3b | (pow.f64 (tan.f64 x) 2) | |
| ✓ | 0.3b | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) |
Compiled 40 to 20 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 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 |
| 756× | pow1_binary64 |
| 705× | add-log-exp_binary64 |
| 705× | log1p-expm1-u_binary64 |
| 705× | expm1-log1p-u_binary64 |
| 691× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 1 | 218 | 23 |
| 2 | 2939 | 23 |
| 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 (pow.f64 (tan.f64 x) 2) 1)) |
| Outputs |
|---|
((#(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 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 (/.f64 (pow.f64 (tan.f64 x) 4) (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) -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) 2)) (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (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 (pow.f64 (tan.f64 x) 4) -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) 2)) (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 (pow.f64 (tan.f64 x) 4) -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) 6))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 4) -1)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -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 1 (pow.f64 (tan.f64 x) 4)) (+.f64 1 (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 (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 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.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)) (/.f64 -1 (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 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 1)))) (#(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 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2) (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 x) -1)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (/.f64 -1 (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 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (tan.f64 x)) (*.f64 (hypot.f64 1 (tan.f64 x)) (/.f64 -1 (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 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (tan.f64 x) (tan.f64 x) -1) (/.f64 1 (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) (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 (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 (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)) (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))))) (#(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 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.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 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) (+.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 pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 1)))) (#(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 pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.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 sqrt.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))))) (#(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 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x))))))))) |
| 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)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 -8/27 (pow.f64 x 6)) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 -8/27 (pow.f64 x 6)) |
| 1.0ms | x | @ | inf | (*.f64 -8/27 (pow.f64 x 6)) |
| 0.0ms | x | @ | -inf | (*.f64 -8/27 (pow.f64 x 6)) |
| 1× | batch-egg-rewrite |
| 509× | pow1_binary64 |
| 504× | add-sqr-sqrt_binary64 |
| 481× | add-log-exp_binary64 |
| 481× | log1p-expm1-u_binary64 |
| 481× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 127 | 7 |
| 2 | 1379 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -8/27 (pow.f64 x 6)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -8/27 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8/27 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -8/27 (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 -8/27)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 -8/27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 12) 64/729))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -8/27) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -8/27 (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -8/27 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -8/27 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -8/27 (pow.f64 x 6)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) |
| ✓ | 0.2b | (/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.3b | (pow.f64 (tan.f64 x) 2) | |
| 2.1b | (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1) |
Compiled 57 to 41 computations (28.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) |
| 0.0ms | x | @ | -inf | (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) |
| 1× | batch-egg-rewrite |
| 663× | prod-diff_binary64 |
| 480× | log-prod_binary64 |
| 370× | fma-def_binary64 |
| 246× | fma-neg_binary64 |
| 225× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 1 | 272 | 29 |
| 2 | 3921 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) |
| 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 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.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 (-.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))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (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 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> 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| 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))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (-.f64 1 (/.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 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.2b | (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) | |
| 0.3b | (pow.f64 (tan.f64 x) 2) |
Compiled 60 to 23 computations (61.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 1× | batch-egg-rewrite |
| 744× | prod-diff_binary64 |
| 682× | log-prod_binary64 |
| 271× | fma-def_binary64 |
| 231× | log-div_binary64 |
| 229× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 27 |
| 1 | 290 | 20 |
| 2 | 4197 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| Outputs |
|---|
((#(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)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (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 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))) (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.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 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (neg.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 1 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (cbrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (neg.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 1 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 1 (fma.f64 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| 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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (-.f64 1 (pow.f64 (tan.f64 x) 2)) | |
| 0.3b | (pow.f64 (tan.f64 x) 2) | |
| ✓ | 0.3b | (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| ✓ | 0.4b | (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) |
Compiled 84 to 60 computations (28.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 3.0ms | x | @ | inf | (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 2.0ms | x | @ | -inf | (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) |
| 2.0ms | x | @ | inf | (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) |
| 1× | batch-egg-rewrite |
| 577× | log-prod_binary64 |
| 322× | pow2_binary64 |
| 250× | prod-diff_binary64 |
| 222× | expm1-udef_binary64 |
| 221× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 50 |
| 1 | 293 | 42 |
| 2 | 3608 | 42 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) |
(cbrt.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 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 (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) 2))) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 -.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (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 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (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 (exp.f64 (log1p.f64 (cbrt.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 1 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 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(-.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 (cbrt.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 (cbrt.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.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))) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.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 (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -1)) (cbrt.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (neg.f64 (cbrt.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))) 1/3)))) (#(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)))) 1)))) (#(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))) -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)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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 (cbrt.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 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1/6) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (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 log.f64 (exp.f64 (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 log.f64 (+.f64 1 (expm1.f64 (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 expm1.f64 (log1p.f64 (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 log1p.f64 (expm1.f64 (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 exp.f64 (*.f64 1/3 (-.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)))) 1/3))))) (#(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))))) 1)))))) |
| 1× | egg-herbie |
| 633× | associate-/l*_binary64 |
| 442× | associate-/r*_binary64 |
| 441× | fma-def_binary64 |
| 374× | *-commutative_binary64 |
| 349× | distribute-rgt-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 712 |
| 1 | 111 | 684 |
| 2 | 239 | 678 |
| 3 | 682 | 678 |
| 4 | 2731 | 678 |
| 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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)))) (pow.f64 1 1/3)) |
1 |
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 332/405 (pow.f64 x 6))))) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
(pow.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)))) 1/3) |
| 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))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) (fma.f64 2/3 (pow.f64 x 4) 1))) |
(*.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)))) (pow.f64 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 1/3)) |
(*.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 (pow.f64 (sin.f64 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 (*.f64 2/3 (pow.f64 x 2)) 1) |
(fma.f64 2/3 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) 2/3 1) |
(fma.f64 x (*.f64 x 2/3) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1)) |
(fma.f64 2/3 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) 2/3 (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 2/3 (fma.f64 x x (pow.f64 x 4)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 332/405 (pow.f64 x 6))))) |
(fma.f64 2/3 (*.f64 x x) (+.f64 (fma.f64 2/3 (pow.f64 x 4) 1) (*.f64 (pow.f64 x 6) 332/405))) |
(fma.f64 (*.f64 x x) 2/3 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 332/405 1))) |
(fma.f64 2/3 (fma.f64 x x (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) 332/405 1)) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.f64 (/.f64 (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))))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.f64 (/.f64 (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))))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.f64 (/.f64 (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))))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.f64 (/.f64 (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))))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.f64 (/.f64 (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))))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.f64 (/.f64 (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))))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.f64 (/.f64 (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))))) |
(pow.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)))) 1/3) |
(cbrt.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))))) |
(cbrt.f64 (/.f64 (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))))) |
Compiled 36370 to 24289 computations (33.2% saved)
46 alts after pruning (37 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1158 | 8 | 1166 |
| Fresh | 7 | 29 | 36 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 1165 | 46 | 1211 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3)) | |
| 1.1b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) | |
| 0.5b | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.7b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) | |
| 0.5b | (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| ✓ | 0.4b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| ✓ | 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))) |
| 0.9b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) | |
| 34.5b | (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -2/3)) (*.f64 x (*.f64 x -2/3))) 1) (-.f64 (*.f64 x (*.f64 x -2/3)) 1)) 3) | |
| ✓ | 34.2b | (fma.f64 x (*.f64 x -2) 1) |
| 1.7b | (/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 28.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1) | |
| 34.3b | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) | |
| 0.5b | (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.9b | (/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 1.3b | (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 3) | |
| 0.6b | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 0.8b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))) | |
| 34.2b | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) | |
| 0.6b | (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (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)))) | |
| ✓ | 1.0b | (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) |
| ✓ | 0.5b | (/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| ✓ | 0.4b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.5b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) | |
| 1.1b | (/.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 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.6b | (/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1))) | |
| 0.6b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.6b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) | |
| 0.6b | (*.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) 1))) | |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) | |
| ✓ | 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.4b | (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 32.1b | (/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) | |
| 63.0b | (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x 4/3) (fma.f64 (pow.f64 x 4) -8/27 -2))) | |
| 0.6b | (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.5b | (log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.4b | (/.f64 (-.f64 1 (fma.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 31.4b | 1 | |
| 34.5b | (pow.f64 (+.f64 (*.f64 x (*.f64 x -2/3)) 1) 3) | |
| 0.4b | (expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| ✓ | 62.9b | (*.f64 -8/27 (pow.f64 x 6)) |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) 1)) | |
| 1.2b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 3)) |
Compiled 753 to 587 computations (22% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 -8/27 (pow.f64 x 6)) |
(fma.f64 x (*.f64 x -2) 1) |
(pow.f64 (+.f64 (*.f64 x (*.f64 x -2/3)) 1) 3) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -2/3)) (*.f64 x (*.f64 x -2/3))) 1) (-.f64 (*.f64 x (*.f64 x -2/3)) 1)) 3) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1) |
(pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 x x))) |
(/.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)) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x 4/3) (fma.f64 (pow.f64 x 4) -8/27 -2))) |
(+.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 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 (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 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.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 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.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 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
(*.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) 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 (-.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 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) |
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.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 (sqrt.f64 (tan.f64 x)) 4)) (+.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 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (cbrt.f64 (pow.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 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 3) 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))) (+.f64 (pow.f64 (tan.f64 x) 2) 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 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (fma.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1) 1)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (fma.f64 (+.f64 (tan.f64 x) 1) (-.f64 (tan.f64 x) 1) 1)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)) (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1))) |
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2) |
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
(/.f64 (log1p.f64 (expm1.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)) (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(log1p.f64 (expm1.f64 (/.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)) (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) |
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))) |
(*.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))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 3)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) 1))) |
(pow.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 3) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))) |
(*.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))) |
(/.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (pow.f64 (tan.f64 x) 2)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 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)) |
(/.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)) |
(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))) |
(/.f64 (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) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 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))) |
(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))) |
(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))) |
(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))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 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))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
6 calls:
| 91.0ms | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 60.0ms | (tan.f64 x) |
| 57.0ms | x |
| 52.0ms | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 39.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | x |
| 0.4b | 1 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.4b | 1 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.4b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 0.4b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 0.4b | 1 | (tan.f64 x) |
Compiled 1722 to 1096 computations (36.4% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 -8/27 (pow.f64 x 6)) |
(fma.f64 x (*.f64 x -2) 1) |
(pow.f64 (+.f64 (*.f64 x (*.f64 x -2/3)) 1) 3) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -2/3)) (*.f64 x (*.f64 x -2/3))) 1) (-.f64 (*.f64 x (*.f64 x -2/3)) 1)) 3) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1) |
(pow.f64 (fma.f64 x (*.f64 x -2/3) 1) 3) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) 1) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 x x))) |
(/.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)) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x 4/3) (fma.f64 (pow.f64 x 4) -8/27 -2))) |
(+.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 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1) |
2 calls:
| 12.0ms | (tan.f64 x) |
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 28.4b | 1 | x |
| 28.4b | 1 | (tan.f64 x) |
Compiled 217 to 147 computations (32.3% saved)
Total -31.7b remaining (-101%)
Threshold costs -31.7b (-101%)
| Inputs |
|---|
1 |
1 |
(*.f64 -8/27 (pow.f64 x 6)) |
(fma.f64 x (*.f64 x -2) 1) |
(pow.f64 (+.f64 (*.f64 x (*.f64 x -2/3)) 1) 3) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -2/3)) (*.f64 x (*.f64 x -2/3))) 1) (-.f64 (*.f64 x (*.f64 x -2/3)) 1)) 3) |
| Outputs |
|---|
1 |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.4b | 1 | x |
Compiled 48 to 36 computations (25% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | /-rgt-identity_binary64 |
| 1× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 15 | 30 |
| 2 | 19 | 30 |
| 3 | 21 | 30 |
| 4 | 22 | 30 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.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)) 1) |
1 |
| Outputs |
|---|
(/.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 (pow.f64 (tan.f64 x) 2)) 1) |
(-.f64 1 (pow.f64 (tan.f64 x) 2)) |
1 |
Compiled 23 to 19 computations (17.4% 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 |
Compiled 47 to 24 computations (48.9% saved)
Compiled 21 to 16 computations (23.8% saved)
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