Time bar (total: 9.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 50% | 50% | 0% | 5 |
| 50% | 50% | 0% | 6 |
| 50% | 50% | 0% | 7 |
| 50% | 50% | 0% | 8 |
| 50% | 50% | 0% | 9 |
| 50% | 50% | 0% | 10 |
| 50% | 50% | 0% | 11 |
| 50% | 50% | 0% | 12 |
Compiled 17 to 9 computations (47.1% saved)
| 945.0ms | 2080× | body | 1024 | valid |
| 728.0ms | 5122× | body | 256 | valid |
| 306.0ms | 1045× | body | 512 | valid |
| 4.0ms | 9× | body | 2048 | valid |
| 2× | egg-herbie |
| 627× | times-frac_binary64 |
| 560× | div-sub_binary64 |
| 542× | fma-def_binary64 |
| 479× | sub-neg_binary64 |
| 333× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 19 | 22 |
| 2 | 31 | 22 |
| 3 | 49 | 22 |
| 4 | 99 | 22 |
| 5 | 169 | 22 |
| 6 | 281 | 22 |
| 7 | 616 | 22 |
| 8 | 1533 | 22 |
| 9 | 3899 | 22 |
| 10 | 7012 | 22 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
Compiled 17 to 9 computations (47.1% saved)
| 1× | egg-herbie |
| 627× | times-frac_binary64 |
| 560× | div-sub_binary64 |
| 542× | fma-def_binary64 |
| 479× | sub-neg_binary64 |
| 333× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 19 | 22 |
| 2 | 31 | 22 |
| 3 | 49 | 22 |
| 4 | 99 | 22 |
| 5 | 169 | 22 |
| 6 | 281 | 22 |
| 7 | 616 | 22 |
| 8 | 1533 | 22 |
| 9 | 3899 | 22 |
| 10 | 7012 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
Compiled 30 to 13 computations (56.7% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| ▶ | 0.3b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
Compiled 31 to 16 computations (48.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) |
| ✓ | 0.2b | (-.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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 1.0ms | x | @ | inf | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1.0ms | x | @ | 0 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 643× | unpow-prod-down_binary64 |
| 433× | log-prod_binary64 |
| 381× | prod-diff_binary64 |
| 240× | pow-prod-down_binary64 |
| 234× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 44 |
| 1 | 180 | 44 |
| 2 | 2553 | 44 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (tan.f64 x) (tan.f64 x)) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) |
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))) (sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x)))) (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 4) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (pow.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 6))) 1) (+.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 5/2) 1/3) (cbrt.f64 (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 2) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 (pow.f64 (tan.f64 x) 4) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (fma.f64 (tan.f64 x) (tan.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)) (hypot.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) 2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 5) (cbrt.f64 (tan.f64 x)) 1))))) |
| 1× | egg-herbie |
| 807× | fma-def_binary64 |
| 654× | distribute-rgt-out_binary64 |
| 569× | associate-*l*_binary64 |
| 463× | cancel-sign-sub-inv_binary64 |
| 460× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 871 |
| 1 | 141 | 860 |
| 2 | 348 | 856 |
| 3 | 1062 | 856 |
| 4 | 4684 | 856 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)) |
(fma.f64 x x (*.f64 2/3 (pow.f64 x 4))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) (*.f64 17/45 (pow.f64 x 6)))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 62/315 (pow.f64 x 8) (*.f64 x x)))) |
(fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 62/315 2/3)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -2 1) |
(fma.f64 x (*.f64 x -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 (*.f64 x x) -2 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 (pow.f64 x 6) -4/45 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x)))) |
(fma.f64 (pow.f64 x 4) -2/3 (-.f64 1 (*.f64 x x))) |
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (*.f64 x x)) |
(-.f64 1 (fma.f64 x x (*.f64 2/3 (pow.f64 x 4)))) |
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 6) -17/45)))) |
(+.f64 (fma.f64 (pow.f64 x 4) -2/3 (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 x 6) -17/45)) |
(fma.f64 (pow.f64 x 4) -2/3 (fma.f64 (pow.f64 x 6) -17/45 (-.f64 1 (*.f64 x x)))) |
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 (*.f64 x x) 1) |
(fma.f64 x x 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (*.f64 x x) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)) 1)) |
(+.f64 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) 1))) |
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) 1))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (tan.f64 x) (tan.f64 x) 1) |
| 0.2b | (-.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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.0ms | x | @ | inf | (fma.f64 (tan.f64 x) (tan.f64 x) 1) |
| 0.0ms | x | @ | -inf | (fma.f64 (tan.f64 x) (tan.f64 x) 1) |
| 1× | batch-egg-rewrite |
| 936× | pow1_binary64 |
| 872× | add-log-exp_binary64 |
| 872× | log1p-expm1-u_binary64 |
| 872× | expm1-log1p-u_binary64 |
| 853× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 1 | 176 | 29 |
| 2 | 2413 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(fma.f64 (tan.f64 x) (tan.f64 x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 x) 6) 1) (+.f64 (pow.f64 (tan.f64 x) 4) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 4) 1) (-.f64 (pow.f64 (tan.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))))))) |
| 1× | egg-herbie |
| 598× | associate-/l*_binary64 |
| 441× | associate-/r*_binary64 |
| 360× | fma-def_binary64 |
| 351× | *-commutative_binary64 |
| 332× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 515 |
| 1 | 89 | 509 |
| 2 | 204 | 507 |
| 3 | 581 | 507 |
| 4 | 2440 | 507 |
| 5 | 7496 | 507 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 -4/45 (pow.f64 x 6) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (*.f64 x x))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(+.f64 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x 1)) (*.f64 (pow.f64 x 6) 17/45)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x 1))) |
(fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 2/3 (pow.f64 x 4) 1))) |
(fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) 1))) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1) |
Compiled 14680 to 9439 computations (35.7% saved)
40 alts after pruning (40 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 507 | 40 | 547 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 509 | 40 | 549 |
| Status | Error | Program |
|---|---|---|
| 31.2b | (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ▶ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.3b | (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 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) | |
| ▶ | 0.7b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1.1b | (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.5b | (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.3b | (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.3b | (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 31.3b | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) | |
| 1.1b | (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) | |
| 0.4b | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.5b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) | |
| 31.2b | (fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) | |
| 1.1b | (/.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 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 31.2b | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) | |
| 0.7b | (+.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4)))))) (fma.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4)))))) | |
| 0.5b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3))) | |
| 0.3b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ▶ | 31.2b | (fma.f64 x (*.f64 x -2) 1) |
| ▶ | 0.4b | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) |
| 32.3b | (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 32.2b | (/.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)))) | |
| 0.5b | (/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 30.3b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) | |
| 32.2b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) | |
| 28.6b | 1 | |
| 0.8b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 3) | |
| 1.0b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 17.0b | (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6) 1/3) | |
| ▶ | 0.4b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
| 0.7b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) | |
| 0.4b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) | |
| 1.8b | (/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 1.8b | (/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.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))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.5b | (/.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 (tan.f64 x) 4) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
Compiled 1494 to 1082 computations (27.6% 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)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (pow.f64 (tan.f64 x) 2) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.0ms | x | @ | -inf | (pow.f64 (tan.f64 x) 2) |
| 0.0ms | x | @ | inf | (pow.f64 (tan.f64 x) 2) |
| 1× | batch-egg-rewrite |
| 974× | pow1_binary64 |
| 907× | add-log-exp_binary64 |
| 907× | log1p-expm1-u_binary64 |
| 907× | expm1-log1p-u_binary64 |
| 97× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 198 | 35 |
| 2 | 2505 | 35 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (tan.f64 x) 2) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(-.f64 1 (pow.f64 (tan.f64 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (cbrt.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (tan.f64 x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (+.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2))) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2)))) (-.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) |
| 1× | egg-herbie |
| 722× | fma-def_binary64 |
| 653× | distribute-rgt-out_binary64 |
| 568× | associate-*l*_binary64 |
| 471× | cancel-sign-sub-inv_binary64 |
| 460× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 692 |
| 1 | 126 | 685 |
| 2 | 308 | 683 |
| 3 | 991 | 683 |
| 4 | 4486 | 683 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
| Outputs |
|---|
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)) |
(fma.f64 x x (*.f64 2/3 (pow.f64 x 4))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 2/3 (pow.f64 x 4)))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 62/315 (pow.f64 x 8) (*.f64 x x)))) |
(fma.f64 x x (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 2/3 (pow.f64 x 4))))) |
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 62/315 2/3) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -2 1) |
(fma.f64 x (*.f64 x -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -4/45))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 2/3) -2) (fma.f64 (pow.f64 x 6) -4/45 1)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) (fma.f64 (pow.f64 x 6) -4/45 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (sin.f64 x) 1)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) |
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (neg.f64 (*.f64 x x)))) |
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (*.f64 x x)) |
(-.f64 1 (fma.f64 x x (*.f64 2/3 (pow.f64 x 4)))) |
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))) |
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))) |
(fma.f64 -2/3 (pow.f64 x 4) (+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 6) -17/45)))) |
(+.f64 (-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (*.f64 x x)) (*.f64 (pow.f64 x 6) -17/45)) |
(fma.f64 (pow.f64 x 4) -2/3 (-.f64 (fma.f64 (pow.f64 x 6) -17/45 1) (*.f64 x x))) |
(-.f64 (fma.f64 (pow.f64 x 4) -2/3 1) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))) |
(-.f64 1 (fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
Compiled 13 to 9 computations (30.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) | |
| ✓ | 0.2b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
| 0.3b | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| 0.3b | (pow.f64 (tan.f64 x) 2) |
Compiled 64 to 38 computations (40.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
| 1× | batch-egg-rewrite |
| 746× | prod-diff_binary64 |
| 529× | log-prod_binary64 |
| 415× | fma-def_binary64 |
| 255× | fma-neg_binary64 |
| 215× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 23 |
| 1 | 289 | 20 |
| 2 | 4039 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 1 (+.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)) (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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(+.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 2) 2) (+.f64 2 (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 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 2) 2) -1)) (+.f64 2 (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)))))))) |
| 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 |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 0.2b | (-.f64 1 (pow.f64 (tan.f64 x) 2)) | |
| ✓ | 0.2b | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) |
| 0.3b | (pow.f64 (tan.f64 x) 2) |
Compiled 51 to 35 computations (31.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) |
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 1× | batch-egg-rewrite |
| 491× | log-prod_binary64 |
| 283× | pow2_binary64 |
| 279× | pow-prod-down_binary64 |
| 250× | prod-diff_binary64 |
| 194× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 1 | 240 | 40 |
| 2 | 3006 | 40 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) |
(/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| Outputs |
|---|
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((#(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 (log.f64 (pow.f64 (cbrt.f64 (exp.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 (/.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 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (log.f64 (sqrt.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 -.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 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(pow.f64 (tan.f64 x) 2)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (/.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 (/.f64 1 (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 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 6) (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1) -1)))))) |
| 1× | egg-herbie |
| 598× | associate-/l*_binary64 |
| 441× | associate-/r*_binary64 |
| 439× | *-commutative_binary64 |
| 392× | fma-def_binary64 |
| 332× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 674 |
| 1 | 97 | 670 |
| 2 | 219 | 668 |
| 3 | 657 | 668 |
| 4 | 2675 | 668 |
| 5 | 7747 | 668 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 10/3 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 244/45 (pow.f64 x 6)) (*.f64 10/3 (pow.f64 x 4))))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1)) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
(fma.f64 2/3 (pow.f64 x 4) (+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 -4/45 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) (fma.f64 -4/45 (pow.f64 x 6) 1)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
1 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 1) |
(fma.f64 2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 x 2) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 10/3 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) 10/3)) |
(fma.f64 2 (*.f64 x x) (fma.f64 (pow.f64 x 4) 10/3 1)) |
(fma.f64 (pow.f64 x 4) 10/3 (fma.f64 x (*.f64 x 2) 1)) |
(fma.f64 x (*.f64 x 2) (fma.f64 (pow.f64 x 4) 10/3 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 244/45 (pow.f64 x 6)) (*.f64 10/3 (pow.f64 x 4))))) |
(+.f64 (fma.f64 2 (*.f64 x x) 1) (fma.f64 244/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 10/3))) |
(+.f64 (fma.f64 2 (*.f64 x x) 1) (fma.f64 (pow.f64 x 4) 10/3 (*.f64 (pow.f64 x 6) 244/45))) |
(fma.f64 x (*.f64 x 2) (fma.f64 (pow.f64 x 4) 10/3 (fma.f64 (pow.f64 x 6) 244/45 1))) |
(fma.f64 x (*.f64 x 2) (fma.f64 (pow.f64 x 6) 244/45 (fma.f64 (pow.f64 x 4) 10/3 1))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| 0.3b | (pow.f64 (tan.f64 x) 2) | |
| ✓ | 0.3b | (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| ✓ | 0.4b | (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) |
Compiled 62 to 36 computations (41.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) |
| 3.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) |
| 0.0ms | x | @ | 0 | (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 0.0ms | x | @ | inf | (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| 1× | batch-egg-rewrite |
| 805× | pow1_binary64 |
| 755× | add-log-exp_binary64 |
| 754× | log1p-expm1-u_binary64 |
| 754× | expm1-log1p-u_binary64 |
| 738× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 215 | 20 |
| 2 | 2157 | 20 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) |
(cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (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 1 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))) (/.f64 (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 (+.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 (-.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 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (*.f64 (cbrt.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 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/6) (*.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/6) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 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 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.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 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/6) 3) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1) (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) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2))) (cbrt.f64 (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 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/6)) (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/6))))) (#(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 (+.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) 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 (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) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (neg.f64 (+.f64 1 (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)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2))) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2)))) (-.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/6) (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1/3) (pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (+.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)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.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))) 1/3)))))) |
| 1× | egg-herbie |
| 461× | fma-def_binary64 |
| 406× | cancel-sign-sub-inv_binary64 |
| 380× | associate-/l*_binary64 |
| 347× | fma-neg_binary64 |
| 342× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 410 |
| 1 | 105 | 379 |
| 2 | 242 | 371 |
| 3 | 735 | 371 |
| 4 | 3028 | 371 |
| 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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
1 |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) 1)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -136/405 (pow.f64 x 6))))) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
| Outputs |
|---|
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 -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))) |
(fma.f64 -17/45 (pow.f64 x 6) (-.f64 (fma.f64 -2/3 (pow.f64 x 4) 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 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 1 1/3)) |
(*.f64 1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
1 |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1) |
(fma.f64 -1/3 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -1/3 1) |
(fma.f64 x (*.f64 x -1/3) 1) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) 1)) |
(fma.f64 -1/3 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 4) -1/3 1)) |
(fma.f64 -1/3 (fma.f64 x x (pow.f64 x 4)) 1) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -136/405 (pow.f64 x 6))))) |
(fma.f64 -1/3 (*.f64 x x) (+.f64 (fma.f64 -1/3 (pow.f64 x 4) 1) (*.f64 (pow.f64 x 6) -136/405))) |
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 6) -136/405 1))) |
(fma.f64 -1/3 (fma.f64 x x (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) -136/405 1)) |
(fma.f64 (pow.f64 x 6) -136/405 (fma.f64 -1/3 (fma.f64 x x (pow.f64 x 4)) 1)) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3) |
(cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
Compiled 20191 to 13422 computations (33.5% saved)
44 alts after pruning (42 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 730 | 22 | 752 |
| Fresh | 15 | 20 | 35 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 748 | 44 | 792 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 31.2b | (fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) | |
| 0.8b | (+.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 (cbrt.f64 (tan.f64 x)) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) | |
| ✓ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.6b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) | |
| 1.0b | (/.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 28.6b | 1 | |
| 30.3b | (pow.f64 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) | |
| 0.3b | (expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 1.8b | (/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.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))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 31.2b | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (*.f64 x x))) -1) | |
| 1.1b | (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.3b | (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.3b | (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 31.3b | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) | |
| 1.1b | (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) | |
| 0.4b | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 0.4b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.8b | (/.f64 (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.3b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ▶ | 30.5b | (pow.f64 (fma.f64 x (*.f64 x 2) 1) -1) |
| ✓ | 31.2b | (fma.f64 x (*.f64 x -2) 1) |
| ▶ | 32.3b | (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 32.2b | (/.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)))) | |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) | |
| 31.2b | (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 32.2b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) | |
| ▶ | 0.4b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 30.3b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) | |
| 28.4b | (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ▶ | 0.4b | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))) -1) |
| 0.5b | (/.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 (tan.f64 x) 4) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ▶ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.7b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 1.0b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 31.2b | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) | |
| 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) | |
| 17.0b | (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6) 1/3) | |
| 0.8b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.7b | (/.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 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) | |
| 0.4b | (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 (+.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
Compiled 1633 to 1188 computations (27.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.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 | @ | inf | (+.f64 (pow.f64 (tan.f64 x) 2) 1) |
| 1× | batch-egg-rewrite |
| 633× | unpow-prod-down_binary64 |
| 441× | log-prod_binary64 |
| 376× | prod-diff_binary64 |
| 249× | pow2_binary64 |
| 188× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 205 | 29 |
| 2 | 2715 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(+.f64 (pow.f64 (tan.f64 x) 2) 1) |
| Outputs |
|---|
((#(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) 2)) (pow.f64 (tan.f64 x) 4)) (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 (pow.f64 (tan.f64 x) 4) -1)) (+.f64 (pow.f64 (tan.f64 x) 2) -1) (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)))) 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| 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (pow.f64 (fma.f64 x (*.f64 x 2) 1) -1) |
Compiled 22 to 16 computations (27.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (fma.f64 x (*.f64 x 2) 1) -1) |
| 1.0ms | x | @ | -inf | (pow.f64 (fma.f64 x (*.f64 x 2) 1) -1) |
| 1.0ms | x | @ | 0 | (pow.f64 (fma.f64 x (*.f64 x 2) 1) -1) |
| 1× | batch-egg-rewrite |
| 627× | pow1_binary64 |
| 581× | add-log-exp_binary64 |
| 580× | log1p-expm1-u_binary64 |
| 580× | expm1-log1p-u_binary64 |
| 568× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 155 | 11 |
| 2 | 1620 | 11 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (fma.f64 x (*.f64 x 2) 1) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x (*.f64 x 2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x (*.f64 x 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x 2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x 2) 1))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 2) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 2) 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (*.f64 x 2) 1) -1/2) (pow.f64 (fma.f64 x (*.f64 x 2) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 2) 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 2) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 2) 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 2) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fma.f64 x (*.f64 x 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 x 2) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (fma.f64 x (*.f64 x 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x (*.f64 x 2) 1) -1/2) (sqrt.f64 (fma.f64 x (*.f64 x 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 2) 1)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 2) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x (*.f64 x 2) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (*.f64 x 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x 2) 1)))))))) |
| 1× | egg-herbie |
| 632× | associate-*r/_binary64 |
| 588× | associate-*l/_binary64 |
| 413× | unswap-sqr_binary64 |
| 398× | fma-neg_binary64 |
| 355× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 214 |
| 1 | 102 | 212 |
| 2 | 245 | 210 |
| 3 | 668 | 210 |
| 4 | 2923 | 210 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 4 (pow.f64 x 4)))) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 6)) (*.f64 4 (pow.f64 x 4))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/16 (/.f64 1 (pow.f64 x 8))))) |
(/.f64 1/2 (pow.f64 x 2)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/16 (/.f64 1 (pow.f64 x 8))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(fma.f64 -2 (*.f64 x x) 1) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 4 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (*.f64 4 (pow.f64 x 4))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 4 -2) 1) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 4) -2) 1) |
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 6)) (*.f64 4 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (fma.f64 -8 (pow.f64 x 6) (*.f64 4 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (fma.f64 4 (pow.f64 x 4) (*.f64 -8 (pow.f64 x 6)))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) (fma.f64 -8 (pow.f64 x 6) 1))) |
(fma.f64 -8 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 4 -2) 1)) |
(fma.f64 -8 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 4) -2) 1)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 (/.f64 1/2 x) x) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))) |
(+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1/4 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 6))) (/.f64 1/4 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 6))) (/.f64 -1/4 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))) (/.f64 1/8 (pow.f64 x 6))) |
(+.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1/4 (pow.f64 x 4))) (/.f64 1/8 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/16 (/.f64 1 (pow.f64 x 8))))) |
(-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 6))) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/16 (pow.f64 x 8)))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 6))) (-.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 1/16 (pow.f64 x 8)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 -1/16 (pow.f64 x 8))))) |
(+.f64 (/.f64 1/8 (pow.f64 x 6)) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -1/16 (pow.f64 x 8))))) |
(+.f64 (/.f64 1/8 (pow.f64 x 6)) (-.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1/16 (pow.f64 x 8))) (/.f64 1/4 (pow.f64 x 4)))) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 (/.f64 1/2 x) x) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))) |
(+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1/4 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 6))) (/.f64 1/4 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 6))) (/.f64 -1/4 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))) (/.f64 1/8 (pow.f64 x 6))) |
(+.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1/4 (pow.f64 x 4))) (/.f64 1/8 (pow.f64 x 6))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/16 (/.f64 1 (pow.f64 x 8))))) |
(-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 6))) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/16 (pow.f64 x 8)))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 6))) (-.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 1/16 (pow.f64 x 8)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 -1/16 (pow.f64 x 8))))) |
(+.f64 (/.f64 1/8 (pow.f64 x 6)) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -1/16 (pow.f64 x 8))))) |
(+.f64 (/.f64 1/8 (pow.f64 x 6)) (-.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1/16 (pow.f64 x 8))) (/.f64 1/4 (pow.f64 x 4)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.2b | (-.f64 1 (pow.f64 (tan.f64 x) 2)) | |
| ✓ | 0.2b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 0.3b | (pow.f64 (tan.f64 x) 2) |
Compiled 50 to 34 computations (32% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 1× | batch-egg-rewrite |
| 497× | log-prod_binary64 |
| 286× | pow-prod-down_binary64 |
| 271× | pow2_binary64 |
| 250× | prod-diff_binary64 |
| 195× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 227 | 20 |
| 2 | 2995 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| Outputs |
|---|
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egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -1) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (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 log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 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(tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 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(pow.f64 (tan.f64 x) 6))) (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2)) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (tan.f64 x) 2) (+.f64 1 (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 |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| ✓ | 0.1b | (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) |
| 0.3b | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| ✓ | 0.3b | (pow.f64 (sqrt.f64 (tan.f64 x)) 4) |
Compiled 48 to 21 computations (56.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (tan.f64 x)) 4) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (tan.f64 x)) 4) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (tan.f64 x)) 4) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 1× | batch-egg-rewrite |
| 480× | log-prod_binary64 |
| 457× | prod-diff_binary64 |
| 271× | pow-prod-down_binary64 |
| 270× | pow2_binary64 |
| 208× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 1 | 247 | 35 |
| 2 | 2940 | 35 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (tan.f64 x)) 4) |
(-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) |
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.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 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 5) (cbrt.f64 (tan.f64 x)))))) (#(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 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 exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (tan.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (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)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1)) -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 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (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)) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2))))) (#(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 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) 1) (-.f64 1 (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (fma.f64 (tan.f64 x) (tan.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 2) (neg.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 2)) (-.f64 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(2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))))))) |
| 1× | egg-herbie |
| 599× | associate-/l*_binary64 |
| 589× | distribute-neg-frac_binary64 |
| 471× | fma-def_binary64 |
| 443× | associate-/r*_binary64 |
| 435× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 547 |
| 1 | 37 | 545 |
| 2 | 72 | 545 |
| 3 | 191 | 545 |
| 4 | 848 | 545 |
| 5 | 5452 | 545 |
| 1× | node limit |
| Inputs |
|---|
(/.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 1 (/.f64 (pow.f64 (sin.f64 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 (*.f64 -1 (pow.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)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.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 |
|---|
(/.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 1 (/.f64 (pow.f64 (sin.f64 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 (*.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 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))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 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))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 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))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 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))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 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))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 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))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 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))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 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)) |
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 (tan.f64 x) (sin.f64 x)) |
| ✓ | 0.2b | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))) -1) |
| 0.3b | (pow.f64 (tan.f64 x) 2) |
Compiled 80 to 33 computations (58.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))) -1) |
| 1.0ms | x | @ | -inf | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))) -1) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))) -1) |
| 0.0ms | x | @ | 0 | (*.f64 (tan.f64 x) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 967× | prod-diff_binary64 |
| 282× | fma-def_binary64 |
| 253× | expm1-udef_binary64 |
| 252× | log1p-udef_binary64 |
| 213× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 54 |
| 1 | 328 | 37 |
| 2 | 4539 | 37 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))) -1) |
(*.f64 (tan.f64 x) (sin.f64 x)) |
(-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) |
| Outputs |
|---|
((#(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 (/.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 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 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(2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (hypot.f64 1 (tan.f64 x))) (hypot.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.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)) 1) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (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 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (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 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))))))) (#(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 -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 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 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) 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 (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) 2) (pow.f64 (tan.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) 3)) (+.f64 1 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (tan.f64 x) 2)))) (-.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (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 (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 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (/.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) 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 (neg.f64 (tan.f64 x)) (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1))))) |
| 1× | egg-herbie |
| 712× | fma-def_binary64 |
| 662× | distribute-rgt-out_binary64 |
| 603× | associate-*l*_binary64 |
| 482× | associate-*r*_binary64 |
| 466× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 668 |
| 1 | 125 | 661 |
| 2 | 305 | 659 |
| 3 | 992 | 659 |
| 4 | 4701 | 659 |
| 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)))) |
(pow.f64 x 2) |
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 173/5040 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (pow.f64 x 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
1 |
(+.f64 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 (*.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 -4/45 (pow.f64 x 6) (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) (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)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 1/6 (pow.f64 x 4) (*.f64 x x)) |
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/6)) |
(fma.f64 (pow.f64 x 4) 1/6 (*.f64 x x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 4) (fma.f64 31/360 (pow.f64 x 6) (*.f64 x x))) |
(fma.f64 (pow.f64 x 4) 1/6 (fma.f64 (pow.f64 x 6) 31/360 (*.f64 x x))) |
(fma.f64 (pow.f64 x 6) 31/360 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/6))) |
(fma.f64 (pow.f64 x 6) 31/360 (fma.f64 (pow.f64 x 4) 1/6 (*.f64 x x))) |
(+.f64 (*.f64 173/5040 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (+.f64 (*.f64 31/360 (pow.f64 x 6)) (pow.f64 x 2)))) |
(fma.f64 173/5040 (pow.f64 x 8) (fma.f64 1/6 (pow.f64 x 4) (fma.f64 31/360 (pow.f64 x 6) (*.f64 x x)))) |
(fma.f64 173/5040 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 1/6 (fma.f64 (pow.f64 x 6) 31/360 (*.f64 x x)))) |
(fma.f64 x x (fma.f64 (pow.f64 x 6) 31/360 (*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 173/5040 1/6)))) |
(fma.f64 (pow.f64 x 4) 1/6 (fma.f64 (pow.f64 x 6) 31/360 (fma.f64 173/5040 (pow.f64 x 8) (*.f64 x x)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) |
1 |
(+.f64 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 (fma.f64 (pow.f64 x 6) -17/45 1)) (*.f64 x x)) |
(-.f64 (fma.f64 (pow.f64 x 6) -17/45 1) (fma.f64 x x (*.f64 2/3 (pow.f64 x 4)))) |
(-.f64 1 (/.f64 (pow.f64 (sin.f64 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 26309 to 17736 computations (32.6% saved)
50 alts after pruning (46 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 947 | 28 | 975 |
| Fresh | 19 | 18 | 37 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 969 | 50 | 1019 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.3b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) | |
| 31.2b | (fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) | |
| 31.4b | (fma.f64 x (neg.f64 x) 1) | |
| 0.5b | (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 0.8b | (+.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 (cbrt.f64 (tan.f64 x)) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) | |
| ✓ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.6b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) | |
| 1.0b | (/.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 30.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 x x) 1)) | |
| 30.3b | (/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) | |
| ▶ | 62.1b | (/.f64 (/.f64 1/2 x) x) |
| 31.2b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (*.f64 x x)))) | |
| 1.1b | (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.6b | (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) | |
| ▶ | 31.3b | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
| 62.1b | (/.f64 1/2 (pow.f64 x 2)) | |
| 0.8b | (/.f64 (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.4b | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| 32.3b | (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| ▶ | 0.7b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| ✓ | 31.2b | (fma.f64 x (*.f64 x -2) 1) |
| 0.4b | (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) | |
| 32.2b | (/.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)))) | |
| 45.0b | (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 x x))) | |
| ▶ | 32.2b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
| ✓ | 0.4b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 0.4b | (/.f64 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 17.0b | (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -2) | |
| 1.8b | (/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 28.4b | (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.3b | (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 28.6b | 1 | |
| ▶ | 0.3b | (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| ✓ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.4b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) | |
| 0.7b | (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -3) | |
| 0.4b | (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) | |
| 1.0b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 31.2b | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) | |
| 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) | |
| 31.2b | (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 32.2b | (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) | |
| 0.8b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.7b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) | |
| 1.8b | (/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 0.4b | (-.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 (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)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) | |
| 0.4b | (/.f64 (-.f64 (+.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
Compiled 1709 to 1278 computations (25.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.3b | (pow.f64 (tan.f64 x) 2) | |
| ✓ | 0.5b | (pow.f64 (tan.f64 x) 4) |
| ✓ | 6.6b | (sqrt.f64 (pow.f64 (tan.f64 x) 4)) |
Compiled 47 to 31 computations (34% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (tan.f64 x) 4) |
| 1.0ms | x | @ | -inf | (pow.f64 (tan.f64 x) 4) |
| 1.0ms | x | @ | 0 | (pow.f64 (tan.f64 x) 4) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (pow.f64 (tan.f64 x) 4)) |
| 0.0ms | x | @ | inf | (sqrt.f64 (pow.f64 (tan.f64 x) 4)) |
| 1× | batch-egg-rewrite |
| 629× | prod-diff_binary64 |
| 494× | log-prod_binary64 |
| 284× | pow2_binary64 |
| 267× | fma-def_binary64 |
| 195× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 1 | 273 | 32 |
| 2 | 3141 | 32 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (pow.f64 (tan.f64 x) 4)) |
(pow.f64 (tan.f64 x) 4) |
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 815× | fma-def_binary64 |
| 753× | distribute-rgt-out_binary64 |
| 731× | distribute-lft-out_binary64 |
| 698× | associate-*l*_binary64 |
| 571× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 676 |
| 1 | 135 | 674 |
| 2 | 326 | 674 |
| 3 | 1071 | 674 |
| 4 | 5991 | 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 4) |
(+.f64 (*.f64 4/3 (pow.f64 x 6)) (pow.f64 x 4)) |
(+.f64 (*.f64 4/3 (pow.f64 x 6)) (+.f64 (*.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4))) |
(+.f64 (*.f64 848/945 (pow.f64 x 10)) (+.f64 (*.f64 4/3 (pow.f64 x 6)) (+.f64 (*.f64 6/5 (pow.f64 x 8)) (pow.f64 x 4)))) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) |
1 |
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 2/3 (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)))) |
(+.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 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 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)) |
(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)) |
(fma.f64 (pow.f64 x 6) 4/3 (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))) |
(fma.f64 (pow.f64 x 6) 4/3 (fma.f64 (pow.f64 x 8) 6/5 (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 848/945 (pow.f64 x 10) (fma.f64 (pow.f64 x 6) 4/3 (fma.f64 (pow.f64 x 8) 6/5 (pow.f64 x 4)))) |
(fma.f64 (pow.f64 x 6) 4/3 (fma.f64 (pow.f64 x 8) 6/5 (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 (*.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 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) -4/45 1))) |
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 6) -4/45 (fma.f64 2/3 (pow.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 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 1/2 x) x) |
Compiled 11 to 7 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (/.f64 (/.f64 1/2 x) x) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 1/2 x) x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1/2 x) x) |
| 1× | batch-egg-rewrite |
| 581× | pow1_binary64 |
| 545× | add-log-exp_binary64 |
| 545× | log1p-expm1-u_binary64 |
| 545× | expm1-log1p-u_binary64 |
| 535× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 112 | 7 |
| 2 | 1478 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1/2 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/2 x)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1/2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1/2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1/2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1/2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/2 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1140× | associate-/r*_binary64 |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 552× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 11 | 84 |
| 2 | 19 | 84 |
| 3 | 34 | 84 |
| 4 | 74 | 84 |
| 5 | 225 | 84 |
| 6 | 832 | 84 |
| 7 | 2039 | 84 |
| 8 | 2205 | 84 |
| 9 | 2389 | 84 |
| 10 | 2597 | 84 |
| 11 | 2894 | 84 |
| 12 | 3285 | 84 |
| 13 | 3766 | 84 |
| 14 | 4334 | 84 |
| 15 | 5020 | 84 |
| 16 | 5859 | 84 |
| 17 | 6249 | 84 |
| 18 | 6535 | 84 |
| 19 | 6811 | 84 |
| 20 | 6883 | 84 |
| 21 | 6919 | 84 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
(/.f64 1/2 (pow.f64 x 2)) |
(/.f64 1/2 (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -2 (pow.f64 x 2)) |
| ✓ | 0.1b | (*.f64 2/3 (pow.f64 x 4)) |
| ✓ | 0.3b | (*.f64 -4/45 (pow.f64 x 6)) |
| ✓ | 23.5b | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
Compiled 72 to 59 computations (18.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
| 1.0ms | x | @ | 0 | (*.f64 -4/45 (pow.f64 x 6)) |
| 1.0ms | x | @ | 0 | (*.f64 2/3 (pow.f64 x 4)) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
| 1.0ms | x | @ | inf | (*.f64 -4/45 (pow.f64 x 6)) |
| 1× | batch-egg-rewrite |
| 903× | fma-def_binary64 |
| 441× | fma-neg_binary64 |
| 299× | expm1-udef_binary64 |
| 299× | log1p-udef_binary64 |
| 234× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 45 |
| 1 | 401 | 43 |
| 2 | 4952 | 43 |
| 1× | node limit |
| Inputs |
|---|
(+.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 -4/45 (pow.f64 x 6)) |
(*.f64 2/3 (pow.f64 x 4)) |
(*.f64 -2 (pow.f64 x 2)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) 2)) (cbrt.f64 (fma.f64 -4/45 (pow.f64 x 6) 1)) (fma.f64 2/3 (pow.f64 x 4) (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -2))) (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (+.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) (*.f64 2/3 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x -2))) (+.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) (*.f64 2/3 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 2/3)) (*.f64 (*.f64 x x) (sqrt.f64 2/3)) (fma.f64 x (*.f64 x -2) (fma.f64 -4/45 (pow.f64 x 6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -2) (fma.f64 -4/45 (pow.f64 x 6) 1))) (sqrt.f64 (fma.f64 x (*.f64 x -2) (fma.f64 -4/45 (pow.f64 x 6) 1))) (*.f64 2/3 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -4/45 (pow.f64 x 6) 1)) (sqrt.f64 (fma.f64 -4/45 (pow.f64 x 6) 1)) (fma.f64 2/3 (pow.f64 x 4) (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -2)) (*.f64 x (sqrt.f64 -2)) (+.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) (*.f64 2/3 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) -8 (pow.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) 3)) (/.f64 1 (fma.f64 4 (pow.f64 x 4) (*.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) (-.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) (*.f64 x (*.f64 x -2)))))) (*.f64 2/3 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -64/91125 (pow.f64 (pow.f64 x 6) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 16/2025 (pow.f64 x 12) (*.f64 4/45 (pow.f64 x 6))))) (fma.f64 2/3 (pow.f64 x 4) (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 4 (pow.f64 x 4)) (pow.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) 2)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x -2)) (fma.f64 -4/45 (pow.f64 x 6) 1))) (*.f64 2/3 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 16/2025 (pow.f64 x 12))) (/.f64 1 (+.f64 1 (*.f64 4/45 (pow.f64 x 6)))) (fma.f64 2/3 (pow.f64 x 4) (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x (*.f64 x -2))) 1 (fma.f64 -4/45 (pow.f64 x 6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -2) 1)) (cbrt.f64 (fma.f64 x (*.f64 x -2) 1))) (cbrt.f64 (fma.f64 x (*.f64 x -2) 1)) (fma.f64 -4/45 (pow.f64 x 6) (*.f64 2/3 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x (*.f64 x -2)))) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x (*.f64 x -2))))) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x (*.f64 x -2)))) (fma.f64 -4/45 (pow.f64 x 6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -2))) (fma.f64 -4/45 (pow.f64 x 6) (*.f64 2/3 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x (*.f64 x -2)))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 4) (*.f64 x (*.f64 x -2)))) (fma.f64 -4/45 (pow.f64 x 6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (*.f64 x x)) (*.f64 x x) (fma.f64 x (*.f64 x -2) (fma.f64 -4/45 (pow.f64 x 6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x (*.f64 x -2) (fma.f64 -4/45 (pow.f64 x 6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 x) x (+.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) (*.f64 2/3 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (+.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) (*.f64 2/3 (pow.f64 x 4)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4/45 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 -4/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 -4/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -64/91125 (pow.f64 (pow.f64 x 6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/2025 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4/45) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -4/45 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -64/91125 (pow.f64 (pow.f64 x 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4/45 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 -4/45 (pow.f64 x 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4/45 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 6 (log.f64 x) (log.f64 -4/45)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 -4/45)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -4/45 (pow.f64 x 6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -4/45 (pow.f64 x 6) 1)) (cbrt.f64 (pow.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -4/45 (pow.f64 x 6) 1) 2)) (cbrt.f64 (fma.f64 -4/45 (pow.f64 x 6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -4/45 (pow.f64 x 6) 1)) (sqrt.f64 (fma.f64 -4/45 (pow.f64 x 6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -64/91125 (pow.f64 (pow.f64 x 6) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 16/2025 (pow.f64 x 12) (*.f64 4/45 (pow.f64 x 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 16/2025 (pow.f64 x 12))) (/.f64 1 (+.f64 1 (*.f64 4/45 (pow.f64 x 6)))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 12) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 12) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 x) (log.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 2/3)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) -8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) -8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -2) 1)) (cbrt.f64 (fma.f64 x (*.f64 x -2) 1))) (cbrt.f64 (fma.f64 x (*.f64 x -2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -2))) -1))))) |
| 1× | egg-herbie |
| 1589× | fma-def_binary64 |
| 726× | sqr-pow_binary64 |
| 414× | cube-prod_binary64 |
| 384× | *-commutative_binary64 |
| 328× | pow-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 156 |
| 1 | 57 | 156 |
| 2 | 124 | 152 |
| 3 | 321 | 152 |
| 4 | 1139 | 152 |
| 5 | 2906 | 152 |
| 6 | 3491 | 152 |
| 7 | 3721 | 152 |
| 8 | 3916 | 152 |
| 9 | 4167 | 152 |
| 10 | 4482 | 152 |
| 11 | 5790 | 152 |
| 12 | 6228 | 152 |
| 13 | 6718 | 152 |
| 14 | 7323 | 152 |
| 15 | 7579 | 152 |
| 16 | 7827 | 152 |
| 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 -4/45 (pow.f64 x 6)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 -4/45 (pow.f64 x 6))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -4/45 (pow.f64 x 6)))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -4/45 (pow.f64 x 6))))) |
(*.f64 -4/45 (pow.f64 x 6)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 -4/45 (pow.f64 x 6))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -4/45 (pow.f64 x 6)))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -4/45 (pow.f64 x 6))))) |
| 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 -4/45 (pow.f64 x 6)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 -4/45 (pow.f64 x 6))) |
(fma.f64 2/3 (pow.f64 x 4) (*.f64 -4/45 (pow.f64 x 6))) |
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -4/45) 2/3)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 -4/45 (pow.f64 x 6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 2/3 -2)))) |
(*.f64 x (fma.f64 -2 x (*.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -4/45) 2/3)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -4/45) 2/3) -2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.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)))) |
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (fma.f64 2/3 (pow.f64 x 4) (*.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 (pow.f64 x 4) (fma.f64 x (*.f64 x -4/45) 2/3) 1)) |
(*.f64 -4/45 (pow.f64 x 6)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 -4/45 (pow.f64 x 6))) |
(fma.f64 2/3 (pow.f64 x 4) (*.f64 -4/45 (pow.f64 x 6))) |
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -4/45) 2/3)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (*.f64 -4/45 (pow.f64 x 6)))) |
(fma.f64 -4/45 (pow.f64 x 6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) 2/3 -2)))) |
(*.f64 x (fma.f64 -2 x (*.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -4/45) 2/3)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -4/45) 2/3) -2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.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)))) |
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (fma.f64 2/3 (pow.f64 x 4) (*.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 (pow.f64 x 4) (fma.f64 x (*.f64 x -4/45) 2/3) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
| 0.2b | (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) | |
| 0.3b | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| 0.3b | (pow.f64 (sqrt.f64 (tan.f64 x)) 4) |
Compiled 48 to 21 computations (56.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
| 1× | batch-egg-rewrite |
| 491× | log-prod_binary64 |
| 460× | prod-diff_binary64 |
| 276× | pow-prod-down_binary64 |
| 273× | pow2_binary64 |
| 214× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 249 | 20 |
| 2 | 3011 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
| Outputs |
|---|
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(pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.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 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 exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (sqrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (pow.f64 (/.f64 (tan.f64 x) (hypot.f64 1 (tan.f64 x))) 2))))))) |
| 1× | egg-herbie |
| 598× | associate-/l*_binary64 |
| 589× | distribute-neg-frac_binary64 |
| 471× | fma-def_binary64 |
| 439× | associate-/r*_binary64 |
| 435× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 298 |
| 1 | 37 | 296 |
| 2 | 72 | 296 |
| 3 | 191 | 296 |
| 4 | 847 | 296 |
| 5 | 5431 | 296 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (pow.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)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.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)) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 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))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 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))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 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))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 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))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 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))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 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))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 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))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 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))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.3b | (pow.f64 (tan.f64 x) 2) | |
| 0.3b | (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.4b | (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) |
Compiled 55 to 39 computations (29.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 1.0ms | x | @ | inf | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 1.0ms | x | @ | 0 | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 1× | batch-egg-rewrite |
| 502× | log-prod_binary64 |
| 322× | prod-diff_binary64 |
| 295× | pow-prod-down_binary64 |
| 282× | pow2_binary64 |
| 217× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 270 | 20 |
| 2 | 3119 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| Outputs |
|---|
((#(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 (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 (pow.f64 (hypot.f64 1 (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)) (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))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 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))) (pow.f64 (hypot.f64 1 (tan.f64 x)) -2)))))) (#(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)))) (cbrt.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 *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4)) (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))) (hypot.f64 1 (tan.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 (sqrt.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 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 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 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (/.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 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (/.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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (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))) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 4))) (/.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 (hypot.f64 1 (tan.f64 x))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (hypot.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 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) (hypot.f64 1 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x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (hypot.f64 1 (tan.f64 x)) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 -1 (pow.f64 (tan.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.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 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 (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)) (+.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 exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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 (tan.f64 x) 2) (+.f64 1 (pow.f64 (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 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (tan.f64 x) 4)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) -1)) (+.f64 (pow.f64 (tan.f64 x) 2) -1) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (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)) |
Compiled 24572 to 16970 computations (30.9% saved)
50 alts after pruning (43 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 863 | 16 | 879 |
| Fresh | 14 | 27 | 41 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 6 | 8 |
| Total | 879 | 50 | 929 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) | |
| 0.3b | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) 1) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 0.5b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) | |
| 31.2b | (fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) | |
| 0.5b | (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 0.8b | (+.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 (cbrt.f64 (tan.f64 x)) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) | |
| ✓ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
| 0.6b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (hypot.f64 1 (tan.f64 x)) 4)) | |
| 32.2b | (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) | |
| 30.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 x x) 1)) | |
| 30.3b | (/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) | |
| 0.8b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 31.2b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (*.f64 x x)))) | |
| 1.1b | (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ✓ | 31.3b | (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))))) |
| 0.8b | (/.f64 (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 1.1b | (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) | |
| 28.6b | 1 | |
| 0.4b | (/.f64 (-.f64 (+.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 0.4b | (log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) | |
| ✓ | 0.7b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| ✓ | 31.2b | (fma.f64 x (*.f64 x -2) 1) |
| 62.1b | (/.f64 1/2 (*.f64 x x)) | |
| 0.4b | (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) | |
| 32.2b | (/.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)))) | |
| 45.0b | (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 x x))) | |
| 1.0b | (/.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| ✓ | 0.4b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
| 28.4b | (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 17.0b | (pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -2) | |
| 32.3b | (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| ✓ | 0.3b | (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| ✓ | 0.3b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
| 0.4b | (/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) | |
| 0.7b | (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -3) | |
| 0.4b | (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) | |
| 32.2b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) | |
| 31.2b | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) | |
| 0.4b | (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) | |
| 31.4b | (-.f64 1 (*.f64 x x)) | |
| 32.3b | (/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (hypot.f64 1 (tan.f64 x))) (hypot.f64 1 (tan.f64 x))) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) | |
| 31.2b | (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 0.4b | (-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) | |
| 45.4b | (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) | |
| 1.0b | (/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 0.7b | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6))) | |
| 1.8b | (/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) | |
| 1.8b | (/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.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)) | |
| 0.3b | (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
Compiled 882 to 670 computations (24% saved)
| Inputs |
|---|
1 |
1 |
1 |
1 |
(/.f64 1/2 (*.f64 x x)) |
(-.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1/2 x) x) |
(fma.f64 x (neg.f64 x) 1) |
(/.f64 1/2 (pow.f64 x 2)) |
(fma.f64 x (*.f64 x -2) 1) |
(/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(pow.f64 (fma.f64 x (*.f64 x 2) 1) -1) |
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 x x) 1)) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (*.f64 x x)))) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 x x))) |
(pow.f64 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) |
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (*.f64 x 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))))) |
(+.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 (+.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 1 (*.f64 (/.f64 1 (-.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 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) |
(/.f64 (-.f64 (+.f64 1 (-.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 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (-.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 6)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 4))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.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 (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 (tan.f64 x) 4)) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2)) |
(/.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)))) |
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) |
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
(/.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 (pow.f64 (pow.f64 (tan.f64 x) 6) 1/3))) |
(/.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 (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 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) |
(pow.f64 (/.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -2) |
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.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)) |
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.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))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) -3) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.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)))) 3) |
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 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 (tan.f64 x) (tan.f64 x)))) |
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))) -1) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 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 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (hypot.f64 1 (tan.f64 x))) 6) 1/3) |
(/.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 (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 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (hypot.f64 1 (tan.f64 x))) (hypot.f64 1 (tan.f64 x))) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
(*.f64 (*.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) 2) 3) (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (*.f64 (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)))) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(/.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))) 3) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 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 (tan.f64 x) 4) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(+.f64 (fma.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) -2) (neg.f64 (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4)))))) (fma.f64 (neg.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (*.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 1 (pow.f64 (tan.f64 x) 4)))))) |
(+.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 (cbrt.f64 (tan.f64 x)) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
6 calls:
| 64.0ms | (tan.f64 x) |
| 53.0ms | x |
| 44.0ms | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 41.0ms | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 35.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.3b | 1 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.3b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 0.3b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 0.3b | 1 | (tan.f64 x) |
Compiled 1815 to 1138 computations (37.3% saved)
| Inputs |
|---|
1 |
1 |
1 |
1 |
(/.f64 1/2 (*.f64 x x)) |
(-.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1/2 x) x) |
(fma.f64 x (neg.f64 x) 1) |
(/.f64 1/2 (pow.f64 x 2)) |
(fma.f64 x (*.f64 x -2) 1) |
(/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(pow.f64 (fma.f64 x (*.f64 x 2) 1) -1) |
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 x x) 1)) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (*.f64 x x)))) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 x x))) |
(pow.f64 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) |
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (*.f64 x 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))))) |
(+.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 (+.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 1 (*.f64 (/.f64 1 (-.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 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (+.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1)) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) 1) |
(/.f64 (-.f64 (+.f64 1 (-.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)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
6 calls:
| 40.0ms | (tan.f64 x) |
| 37.0ms | x |
| 32.0ms | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 31.0ms | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 26.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.3b | 1 | (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0.3b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 0.3b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 0.3b | 1 | (tan.f64 x) |
Compiled 573 to 370 computations (35.4% saved)
| Inputs |
|---|
1 |
1 |
1 |
1 |
(/.f64 1/2 (*.f64 x x)) |
(-.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1/2 x) x) |
(fma.f64 x (neg.f64 x) 1) |
(/.f64 1/2 (pow.f64 x 2)) |
(fma.f64 x (*.f64 x -2) 1) |
(/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(pow.f64 (fma.f64 x (*.f64 x 2) 1) -1) |
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 2/3 -2) 1) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 x x) 1)) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1)) |
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 x x))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (tan.f64 x) 2)))) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (*.f64 x x)))) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(fma.f64 x (*.f64 x -2) (fma.f64 2/3 (pow.f64 x 4) 1)) |
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4))) |
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (tan.f64 x)) 4)) (+.f64 1 (*.f64 x x))) |
(pow.f64 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) -1) |
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (*.f64 x 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))))) |
(+.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 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
4 calls:
| 30.0ms | x |
| 28.0ms | (tan.f64 x) |
| 19.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 18.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 28.4b | 1 | x |
| 28.4b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 28.4b | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 28.4b | 1 | (tan.f64 x) |
Compiled 307 to 195 computations (36.5% saved)
Total -34.4b remaining (-120.6%)
Threshold costs -34.4b (-120.6%)
| Inputs |
|---|
1 |
1 |
1 |
1 |
(/.f64 1/2 (*.f64 x x)) |
(-.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1/2 x) x) |
(fma.f64 x (neg.f64 x) 1) |
(/.f64 1/2 (pow.f64 x 2)) |
(fma.f64 x (*.f64 x -2) 1) |
| Outputs |
|---|
1 |
1 calls:
| 41.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 28.6b | 1 | x |
Compiled 38 to 25 computations (34.2% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 1 | 17 | 53 |
| 2 | 21 | 53 |
| 3 | 23 | 53 |
| 4 | 24 | 53 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
1 |
| Outputs |
|---|
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
(/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) |
(/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) |
1 |
Compiled 39 to 30 computations (23.1% 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 |
Compiled 47 to 24 computations (48.9% saved)
Compiled 36 to 25 computations (30.6% saved)
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