Time bar (total: 11.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 18.7% | 81.2% | 0.1% | 6 |
| 46.8% | 53.1% | 0.1% | 7 |
| 56.2% | 43.7% | 0.1% | 8 |
| 71% | 28.9% | 0.1% | 9 |
| 76.5% | 23.4% | 0.1% | 10 |
| 84.9% | 15% | 0.1% | 11 |
| 87.8% | 12.1% | 0.1% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 751.0ms | 8256× | body | 64 | valid |
| 2× | egg-herbie |
| 762× | fma-neg_binary64 |
| 504× | fma-def_binary64 |
| 425× | times-frac_binary64 |
| 376× | div-sub_binary64 |
| 206× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 24 |
| 1 | 29 | 24 |
| 2 | 55 | 24 |
| 3 | 116 | 24 |
| 4 | 271 | 24 |
| 5 | 568 | 20 |
| 6 | 1384 | 20 |
| 7 | 3080 | 20 |
| 8 | 4110 | 20 |
| 9 | 4417 | 20 |
| 10 | 4558 | 20 |
| 11 | 4596 | 20 |
| 12 | 4606 | 20 |
| 13 | 4606 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f)) |
| Outputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n)) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 n f)) |
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f)) |
(/.f64 (+.f64 f n) (-.f64 f n)) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
| 694× | fma-def_binary64 |
| 621× | fma-neg_binary64 |
| 448× | times-frac_binary64 |
| 307× | div-sub_binary64 |
| 143× | cancel-sign-sub-inv_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 18 | 12 |
| 2 | 38 | 12 |
| 3 | 82 | 12 |
| 4 | 182 | 12 |
| 5 | 331 | 12 |
| 6 | 818 | 10 |
| 7 | 2221 | 10 |
| 8 | 3129 | 10 |
| 9 | 3837 | 10 |
| 10 | 3958 | 10 |
| 11 | 4001 | 10 |
| 12 | 4011 | 10 |
| 13 | 4011 | 10 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Outputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n)) |
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n)) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) |
Compiled 35 to 18 computations (48.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | f | @ | 0 | (/.f64 (+.f64 f n) (-.f64 n f)) |
| 1.0ms | f | @ | inf | (/.f64 (+.f64 f n) (-.f64 n f)) |
| 1.0ms | n | @ | -inf | (/.f64 (+.f64 f n) (-.f64 n f)) |
| 1.0ms | f | @ | -inf | (/.f64 (+.f64 f n) (-.f64 n f)) |
| 1.0ms | n | @ | inf | (/.f64 (+.f64 f n) (-.f64 n f)) |
| 1× | batch-egg-rewrite |
| 945× | pow1_binary64 |
| 884× | add-log-exp_binary64 |
| 884× | log1p-expm1-u_binary64 |
| 884× | expm1-log1p-u_binary64 |
| 79× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 144 | 10 |
| 2 | 2307 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 f n) (-.f64 n f)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) |
| 1× | egg-herbie |
| 665× | times-frac_binary64 |
| 553× | div-sub_binary64 |
| 521× | fma-def_binary64 |
| 472× | distribute-frac-neg_binary64 |
| 352× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 504 |
| 1 | 264 | 441 |
| 2 | 940 | 327 |
| 3 | 4891 | 327 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 2 (/.f64 f n)) 1) |
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) |
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1) |
-1 |
(-.f64 (*.f64 -2 (/.f64 n f)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1) |
1 |
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n))) |
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n))) |
1 |
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n))) |
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 2 (/.f64 f n)) 1) |
(fma.f64 2 (/.f64 f n) 1) |
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) |
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) |
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)) |
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2))) |
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))) |
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) |
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))) |
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))) |
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2))) |
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))) |
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f)) |
(fma.f64 (/.f64 n f) -2 -1) |
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f))) |
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))) |
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f))) |
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))) |
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1) |
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))) |
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f)) |
(fma.f64 (/.f64 n f) -2 -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1) |
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))) |
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1) |
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))) |
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1) |
-1 |
(-.f64 (*.f64 -2 (/.f64 n f)) 1) |
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))) |
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f)) |
(fma.f64 (/.f64 n f) -2 -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1) |
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))) |
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1) |
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))) |
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1) |
1 |
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n))) |
(fma.f64 2 (/.f64 f n) 1) |
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n))) |
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) |
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)) |
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2))) |
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))) |
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n))) |
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))) |
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))) |
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2))) |
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))) |
1 |
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n))) |
(fma.f64 2 (/.f64 f n) 1) |
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n))) |
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) |
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)) |
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2))) |
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))) |
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n))) |
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))) |
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))) |
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2))) |
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))) |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 54 | 3 | 57 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 54 | 4 | 58 |
| Status | Error | Program |
|---|---|---|
| 0.0b | (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1) | |
| ▶ | 0.0b | (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) |
| 40.8b | (cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3))) | |
| ✓ | 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) |
Compiled 926 to 442 computations (52.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) |
| 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) | |
| ✓ | 0.5b | (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | n | @ | inf | (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) |
| 1.0ms | f | @ | 0 | (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) |
| 1.0ms | n | @ | 0 | (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) |
| 1.0ms | n | @ | -inf | (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) |
| 1.0ms | f | @ | -inf | (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) |
| 1× | batch-egg-rewrite |
| 793× | prod-diff_binary64 |
| 595× | unpow-prod-down_binary64 |
| 425× | log-prod_binary64 |
| 317× | fma-def_binary64 |
| 227× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 1 | 166 | 22 |
| 2 | 2514 | 22 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))) (log.f64 (-.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))) 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(pow.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 (*.f64 n n) (*.f64 f f))) 1) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) 1) (fma.f64 f (+.f64 f n) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 f n)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) 2) -1) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (+.f64 f n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 1 (fma.f64 n (-.f64 n f) (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 n f) (-.f64 (*.f64 f f) (*.f64 n n))) -1) (/.f64 1 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 f n) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) 1) (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 1) (*.f64 (-.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (-.f64 n f))) (fma.f64 n (-.f64 n f) (*.f64 f f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) |
| 1× | egg-herbie |
| 761× | associate-/l*_binary64 |
| 748× | associate-/r*_binary64 |
| 538× | associate-*l*_binary64 |
| 233× | fma-neg_binary64 |
| 212× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 1456 |
| 1 | 717 | 1244 |
| 2 | 2469 | 1019 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n))) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n)))) 1) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (*.f64 22/3 (/.f64 (*.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n))))) 1) |
(-.f64 (exp.f64 -1) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)) (+.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1) |
(-.f64 (exp.f64 -1) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (*.f64 1/6 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1) |
(-.f64 (exp.f64 -1) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n)) 1) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))))) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n)) 1) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n) (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (pow.f64 n 3)))))) 1) |
1 |
(+.f64 (*.f64 2 (/.f64 f n)) 1) |
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) |
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1) |
-1 |
(-.f64 (*.f64 -2 (/.f64 n f)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1) |
1 |
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n))) |
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n))) |
1 |
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n))) |
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n))) |
| Outputs |
|---|
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n))) 1) |
(+.f64 (E.f64) (-.f64 (*.f64 2 (/.f64 (E.f64) (/.f64 n f))) 1)) |
(+.f64 (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64)) -1) |
(+.f64 (*.f64 2 (*.f64 (/.f64 f n) (E.f64))) (expm1.f64 1)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n)))) 1) |
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (*.f64 n n) (*.f64 f f))) (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f))))) -1) |
(+.f64 (fma.f64 4 (*.f64 (/.f64 (E.f64) n) (/.f64 (*.f64 f f) n)) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64))) -1) |
(+.f64 (*.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (*.f64 4 (*.f64 f f)) n))) (expm1.f64 1)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (*.f64 22/3 (/.f64 (*.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n))))) 1) |
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (*.f64 n n) (*.f64 f f))) (+.f64 (E.f64) (fma.f64 22/3 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 (E.f64) (/.f64 n f)))))) -1) |
(fma.f64 4 (*.f64 (/.f64 (E.f64) n) (/.f64 (*.f64 f f) n)) (+.f64 (fma.f64 22/3 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (*.f64 (/.f64 (E.f64) n) f))) (expm1.f64 1))) |
(+.f64 (+.f64 (+.f64 (E.f64) (*.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (*.f64 4 (*.f64 f f)) n)))) (*.f64 22/3 (/.f64 (E.f64) (pow.f64 (/.f64 n f) 3)))) -1) |
(-.f64 (exp.f64 -1) 1) |
(expm1.f64 -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1) |
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1)) |
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1) |
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (*.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))) |
(+.f64 (*.f64 (/.f64 (exp.f64 -1) (*.f64 f f)) (fma.f64 1/2 (pow.f64 (*.f64 n -2) 2) (*.f64 n (*.f64 n -2)))) (fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))) |
(+.f64 (*.f64 (exp.f64 -1) (+.f64 (/.f64 (*.f64 (*.f64 n -2) (+.f64 (neg.f64 n) n)) (*.f64 f f)) (*.f64 -2 (/.f64 n f)))) (expm1.f64 -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)) (+.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1) |
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (*.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (-.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/6 (pow.f64 (-.f64 (neg.f64 n) n) 3) (fma.f64 n (pow.f64 (-.f64 (neg.f64 n) n) 2) (*.f64 (*.f64 n n) (-.f64 (neg.f64 n) n)))) (/.f64 (pow.f64 f 3) (exp.f64 -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (exp.f64 -1) (*.f64 f f)) (fma.f64 1/2 (pow.f64 (*.f64 n -2) 2) (*.f64 n (*.f64 n -2)))) (+.f64 (/.f64 (fma.f64 1/6 (pow.f64 (*.f64 n -2) 3) (fma.f64 n (pow.f64 (*.f64 n -2) 2) (*.f64 (pow.f64 n 3) -2))) (/.f64 (pow.f64 f 3) (exp.f64 -1))) (fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 -1) (*.f64 f f)) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 n 3) -2) (*.f64 (pow.f64 (+.f64 n n) 2) (+.f64 (*.f64 n -1/3) n))) f) (*.f64 (*.f64 n -2) (+.f64 (neg.f64 n) n)))) (fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))) |
(-.f64 (exp.f64 -1) 1) |
(expm1.f64 -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1) |
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1)) |
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1) |
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (*.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))) |
(+.f64 (*.f64 (/.f64 (exp.f64 -1) (*.f64 f f)) (fma.f64 1/2 (pow.f64 (*.f64 n -2) 2) (*.f64 n (*.f64 n -2)))) (fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))) |
(+.f64 (*.f64 (exp.f64 -1) (+.f64 (/.f64 (*.f64 (*.f64 n -2) (+.f64 (neg.f64 n) n)) (*.f64 f f)) (*.f64 -2 (/.f64 n f)))) (expm1.f64 -1)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (*.f64 1/6 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) (/.f64 f (exp.f64 -1))) (+.f64 (/.f64 (fma.f64 -1 (*.f64 n (-.f64 n (neg.f64 n))) (*.f64 1/2 (pow.f64 (-.f64 n (neg.f64 n)) 2))) (/.f64 (*.f64 f f) (exp.f64 -1))) (+.f64 (exp.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 n (pow.f64 (-.f64 n (neg.f64 n)) 2)) (fma.f64 (*.f64 n n) (-.f64 n (neg.f64 n)) (*.f64 1/6 (pow.f64 (-.f64 n (neg.f64 n)) 3)))) (/.f64 (pow.f64 f 3) (exp.f64 -1))))))) -1) |
(+.f64 -1 (+.f64 (/.f64 (exp.f64 -1) (/.f64 (*.f64 f f) (fma.f64 1/2 (pow.f64 (+.f64 n n) 2) (*.f64 n (*.f64 n -2))))) (+.f64 (-.f64 (exp.f64 -1) (*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 n n) (+.f64 n n) (*.f64 1/6 (pow.f64 (+.f64 n n) 3))) (*.f64 n (pow.f64 (+.f64 n n) 2))) (pow.f64 f 3)) (exp.f64 -1))) (/.f64 -2 (/.f64 f (*.f64 n (exp.f64 -1))))))) |
(+.f64 -1 (+.f64 (-.f64 (exp.f64 -1) (*.f64 (/.f64 (+.f64 (*.f64 -2 (*.f64 2 (pow.f64 n 3))) (fma.f64 1/6 (pow.f64 (+.f64 n n) 3) (*.f64 2 (pow.f64 n 3)))) (pow.f64 f 3)) (exp.f64 -1))) (*.f64 (exp.f64 -1) (+.f64 (/.f64 (*.f64 (*.f64 n -2) (+.f64 (neg.f64 n) n)) (*.f64 f f)) (*.f64 -2 (/.f64 n f)))))) |
(-.f64 (exp.f64 -1) 1) |
(expm1.f64 -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1) |
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1)) |
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1)) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1) |
(+.f64 (+.f64 (fma.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f) (exp.f64 -1)) (*.f64 2/3 (/.f64 (pow.f64 n 3) (/.f64 (pow.f64 f 3) (exp.f64 -1))))) -1) |
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (+.f64 (/.f64 2/3 (/.f64 (pow.f64 f 3) (*.f64 (pow.f64 n 3) (exp.f64 -1)))) (expm1.f64 -1))) |
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 n f) 3) (exp.f64 -1))) (expm1.f64 -1))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f) (fma.f64 2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 n 4)) (pow.f64 f 4)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (pow.f64 n 3) (/.f64 (pow.f64 f 3) (exp.f64 -1))))))) -1) |
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 f 4) (pow.f64 n 4))) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (exp.f64 -1)) (exp.f64 -1))))) |
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (fma.f64 2/3 (/.f64 (pow.f64 n 4) (/.f64 (pow.f64 f 4) (exp.f64 -1))) (fma.f64 2/3 (*.f64 (pow.f64 (/.f64 n f) 3) (exp.f64 -1)) (exp.f64 -1))))) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n)) 1) |
(+.f64 (E.f64) (-.f64 (*.f64 2 (/.f64 (E.f64) (/.f64 n f))) 1)) |
(+.f64 (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64)) -1) |
(+.f64 (*.f64 2 (*.f64 (/.f64 f n) (E.f64))) (expm1.f64 1)) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1) |
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (*.f64 n n) (*.f64 f f))) (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f))))) -1) |
(+.f64 (fma.f64 4 (*.f64 (/.f64 (E.f64) n) (/.f64 (*.f64 f f) n)) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64))) -1) |
(+.f64 (*.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (*.f64 4 (*.f64 f f)) n))) (expm1.f64 1)) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))))) 1) |
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 (*.f64 n n) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2))))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 f (neg.f64 f))) n) (/.f64 (*.f64 (E.f64) (fma.f64 f (pow.f64 (-.f64 f (neg.f64 f)) 2) (fma.f64 1/6 (pow.f64 (-.f64 f (neg.f64 f)) 3) (*.f64 (*.f64 f f) (-.f64 f (neg.f64 f)))))) (pow.f64 n 3)))) 1)) |
(+.f64 -1 (+.f64 (+.f64 (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64)) (*.f64 (/.f64 (E.f64) (*.f64 n n)) (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (*.f64 f (+.f64 f f))))) (*.f64 (/.f64 (E.f64) (pow.f64 n 3)) (fma.f64 f (pow.f64 (+.f64 f f) 2) (fma.f64 1/6 (pow.f64 (+.f64 f f) 3) (*.f64 2 (pow.f64 f 3))))))) |
(+.f64 (E.f64) (+.f64 (*.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (*.f64 4 (*.f64 f f)) n))) (fma.f64 (/.f64 (E.f64) (pow.f64 n 3)) (+.f64 (*.f64 2 (pow.f64 f 3)) (*.f64 (*.f64 4 (*.f64 f f)) (+.f64 (*.f64 f 1/3) f))) -1))) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n)) 1) |
(+.f64 (E.f64) (-.f64 (*.f64 2 (/.f64 (E.f64) (/.f64 n f))) 1)) |
(+.f64 (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64)) -1) |
(+.f64 (*.f64 2 (*.f64 (/.f64 f n) (E.f64))) (expm1.f64 1)) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1) |
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (*.f64 n n) (*.f64 f f))) (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f))))) -1) |
(+.f64 (fma.f64 4 (*.f64 (/.f64 (E.f64) n) (/.f64 (*.f64 f f) n)) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64))) -1) |
(+.f64 (*.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (*.f64 4 (*.f64 f f)) n))) (expm1.f64 1)) |
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n) (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (pow.f64 n 3)))))) 1) |
(+.f64 (E.f64) (-.f64 (+.f64 (/.f64 (E.f64) (/.f64 (*.f64 n n) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2))))) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 f (neg.f64 f))) n) (neg.f64 (/.f64 (*.f64 (E.f64) (fma.f64 -1/6 (pow.f64 (-.f64 f (neg.f64 f)) 3) (*.f64 -1 (+.f64 (*.f64 f (pow.f64 (-.f64 f (neg.f64 f)) 2)) (*.f64 (*.f64 f f) (-.f64 f (neg.f64 f))))))) (pow.f64 n 3))))) 1)) |
(+.f64 (+.f64 (*.f64 (/.f64 (E.f64) (*.f64 n n)) (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (*.f64 f (+.f64 f f)))) (-.f64 (*.f64 2 (*.f64 (/.f64 (E.f64) n) f)) (*.f64 (/.f64 (E.f64) (pow.f64 n 3)) (fma.f64 (pow.f64 (+.f64 f f) 3) -1/6 (neg.f64 (fma.f64 f (pow.f64 (+.f64 f f) 2) (*.f64 2 (pow.f64 f 3)))))))) (expm1.f64 1)) |
(+.f64 (-.f64 (*.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (*.f64 4 (*.f64 f f)) n))) (*.f64 (/.f64 (E.f64) (pow.f64 n 3)) (+.f64 (*.f64 (pow.f64 f 3) -2) (*.f64 (*.f64 4 (*.f64 f f)) (-.f64 (*.f64 f -1/3) f))))) (expm1.f64 1)) |
1 |
(+.f64 (*.f64 2 (/.f64 f n)) 1) |
(fma.f64 2 (/.f64 f n) 1) |
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) |
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) |
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)) |
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (/.f64 2 (/.f64 n f))))) |
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) |
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))) |
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))) |
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (/.f64 2 (/.f64 n f)))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))) |
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f)) |
(fma.f64 -2 (/.f64 n f) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f))) |
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))) |
(-.f64 (-.f64 (*.f64 (/.f64 n f) (/.f64 (*.f64 n -2) f)) (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f))) |
(+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))) |
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1) |
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))) |
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f)) |
(fma.f64 -2 (/.f64 n f) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1) |
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))) |
(-.f64 (-.f64 (*.f64 (/.f64 n f) (/.f64 (*.f64 n -2) f)) (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1) |
(+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))) |
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1) |
-1 |
(-.f64 (*.f64 -2 (/.f64 n f)) 1) |
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))) |
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f)) |
(fma.f64 -2 (/.f64 n f) -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1) |
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))) |
(-.f64 (-.f64 (*.f64 (/.f64 n f) (/.f64 (*.f64 n -2) f)) (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1) |
(+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))) |
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f))) |
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1) |
1 |
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n))) |
(fma.f64 2 (/.f64 f n) 1) |
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n))) |
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) |
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)) |
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (/.f64 2 (/.f64 n f))))) |
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n))) |
(+.f64 (/.f64 f (/.f64 (*.f64 n n) (-.f64 f (neg.f64 f)))) (-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (*.f64 f f))))) (/.f64 (neg.f64 f) n))) |
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (/.f64 (*.f64 2 (pow.f64 f 3)) (pow.f64 n 3))) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 f n)) (*.f64 2 (pow.f64 (/.f64 f n) 3))) (*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1))) |
1 |
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n))) |
(fma.f64 2 (/.f64 f n) 1) |
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n))) |
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) |
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)) |
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (/.f64 2 (/.f64 n f))))) |
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n))) |
(+.f64 (/.f64 f (/.f64 (*.f64 n n) (-.f64 f (neg.f64 f)))) (-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (*.f64 f f))))) (/.f64 (neg.f64 f) n))) |
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (/.f64 (*.f64 2 (pow.f64 f 3)) (pow.f64 n 3))) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 f n)) (*.f64 2 (pow.f64 (/.f64 f n) 3))) (*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1))) |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 234 | 1 | 235 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 235 | 4 | 239 |
| Status | Error | Program |
|---|---|---|
| 0.0b | (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1) | |
| ✓ | 0.0b | (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) |
| ▶ | 0.0b | (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) |
| ✓ | 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) |
Compiled 4580 to 2159 computations (52.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) |
| ✓ | 0.0b | (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) |
| 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) | |
| ✓ | 0.0b | (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | n | @ | inf | (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) |
| 2.0ms | n | @ | -inf | (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) |
| 2.0ms | f | @ | inf | (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) |
| 2.0ms | f | @ | 0 | (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) |
| 2.0ms | f | @ | -inf | (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) |
| 1× | batch-egg-rewrite |
| 758× | prod-diff_binary64 |
| 500× | log-prod_binary64 |
| 352× | fma-def_binary64 |
| 266× | pow2_binary64 |
| 184× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 197 | 39 |
| 2 | 2881 | 39 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) |
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) |
(sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x 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f n) (-.f64 n f)))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))))) |
| 1× | egg-herbie |
| 385× | cancel-sign-sub-inv_binary64 |
| 382× | fma-def_binary64 |
| 307× | *-commutative_binary64 |
| 248× | associate-*r*_binary64 |
| 240× | distribute-rgt-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 436 | 4485 |
| 1 | 1527 | 3771 |
| 2 | 5363 | 2820 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (sqrt.f64 (exp.f64 1))) |
(+.f64 (/.f64 f n) (log.f64 (sqrt.f64 (exp.f64 1)))) |
(+.f64 (/.f64 f n) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2))) (/.f64 1 (pow.f64 n 2))))))) |
(+.f64 (/.f64 f n) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 3 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 22/3 (/.f64 (exp.f64 1) (pow.f64 n 3))) (*.f64 (sqrt.f64 (/.f64 (E.f64) (exp.f64 1))) (/.f64 (-.f64 (*.f64 4 (/.f64 (E.f64) (pow.f64 n 2))) (pow.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (exp.f64 1))) 2)) n))))) (*.f64 -3 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (/.f64 (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2)) n))))) (pow.f64 f 3))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2))) (/.f64 1 (pow.f64 n 2)))))))) |
(log.f64 (sqrt.f64 (exp.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (log.f64 (sqrt.f64 (exp.f64 -1)))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (pow.f64 f 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 3 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)) (+.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)))) (exp.f64 -1)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (-.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 (exp.f64 -1)))) 2))))) (exp.f64 -1))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 (exp.f64 -1)))) 2)) (-.f64 (*.f64 -1 n) n)) (exp.f64 -1))) (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)))) (pow.f64 f 3))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (pow.f64 f 2)))))) |
(log.f64 (sqrt.f64 (exp.f64 -1))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 -1/2 (/.f64 (-.f64 n (*.f64 -1 n)) f))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2)) (*.f64 -1/4 (pow.f64 (-.f64 n (*.f64 -1 n)) 2)))) (*.f64 1/4 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (pow.f64 f 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 -1/2 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2)) (*.f64 -1/4 (pow.f64 (-.f64 n (*.f64 -1 n)) 2)))) (*.f64 1/4 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (pow.f64 f 2))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 3 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (*.f64 1/6 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (exp.f64 -1)) (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 (exp.f64 -1)))) 2))))) (exp.f64 -1))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 (exp.f64 -1)))) 2))) (exp.f64 -1))) (*.f64 1/4 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (pow.f64 f 3))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 -1/2 (/.f64 (-.f64 n (*.f64 -1 n)) f))))) |
(log.f64 (sqrt.f64 (exp.f64 -1))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 -1 (/.f64 n f))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 -1 (/.f64 n f)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (+.f64 (*.f64 -1 (/.f64 n f)) (*.f64 1/6 (*.f64 (pow.f64 n 3) (-.f64 (*.f64 3 (/.f64 (-.f64 (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 f 3))) (/.f64 (exp.f64 -1) (pow.f64 f 3))) (exp.f64 -1))) (*.f64 5 (/.f64 1 (pow.f64 f 3))))))))) |
(log.f64 (sqrt.f64 (exp.f64 1))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1))))) (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2))) (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (-.f64 f (*.f64 -1 f))))) (+.f64 (*.f64 1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (*.f64 3 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f) (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))))) (exp.f64 1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (E.f64) (exp.f64 1))) (*.f64 (-.f64 f (*.f64 -1 f)) (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)))))))))) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1))))) (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2))) (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n))))) |
(log.f64 (sqrt.f64 (exp.f64 1))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)))) (pow.f64 n 2))))) |
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (-.f64 f (*.f64 -1 f))))) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (*.f64 3 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (exp.f64 1)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (E.f64) (exp.f64 1))) (*.f64 (-.f64 f (*.f64 -1 f)) (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)))))))))) (pow.f64 n 3))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)))) (pow.f64 n 2)))))) |
(exp.f64 1) |
(+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (exp.f64 1)) |
(+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (exp.f64 1))) |
(+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (+.f64 (*.f64 22/3 (/.f64 (*.f64 (pow.f64 f 3) (exp.f64 1)) (pow.f64 n 3))) (exp.f64 1)))) |
(exp.f64 -1) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)) (+.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) |
(exp.f64 -1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (*.f64 1/6 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) |
(exp.f64 -1) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) |
(exp.f64 1) |
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1)) |
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1))) |
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f) (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))))) (exp.f64 1)) (pow.f64 n 3)) (exp.f64 1)))) |
(exp.f64 1) |
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1)) |
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1))) |
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (exp.f64 1)) (pow.f64 n 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1)))) |
(sqrt.f64 (E.f64)) |
(+.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 f n)) (sqrt.f64 (E.f64))) |
(+.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 f n)) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 4 (/.f64 (E.f64) (pow.f64 n 2))) (pow.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (exp.f64 1))) 2))) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (sqrt.f64 (E.f64)))) |
(+.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 f n)) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 22/3 (/.f64 (E.f64) (pow.f64 n 3))) (*.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (/.f64 (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2)) n)))) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 4 (/.f64 (E.f64) (pow.f64 n 2))) (pow.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (exp.f64 1))) 2))) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (sqrt.f64 (E.f64))))) |
(sqrt.f64 (exp.f64 -1)) |
(+.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (sqrt.f64 (exp.f64 -1))))) |
(+.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (sqrt.f64 (exp.f64 -1)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 (exp.f64 -1)))) 2)) (pow.f64 f 2)) (sqrt.f64 (/.f64 1 (exp.f64 -1))))))) |
(+.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (sqrt.f64 (exp.f64 -1)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)) (+.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)))) (exp.f64 -1)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (-.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 (exp.f64 -1)))) 2))))) (pow.f64 f 3)) (sqrt.f64 (/.f64 1 (exp.f64 -1))))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 (exp.f64 -1)))) 2)) (pow.f64 f 2)) (sqrt.f64 (/.f64 1 (exp.f64 -1)))))))) |
(sqrt.f64 (exp.f64 -1)) |
(+.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 -1/2 (*.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (sqrt.f64 (exp.f64 -1))))) |
(+.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (sqrt.f64 (exp.f64 -1)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 (exp.f64 -1)))) 2)) (pow.f64 f 2)) (sqrt.f64 (/.f64 1 (exp.f64 -1))))))) |
(+.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (sqrt.f64 (exp.f64 -1)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (*.f64 1/6 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (exp.f64 -1)) (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 (exp.f64 -1)))) 2))))) (pow.f64 f 3)) (sqrt.f64 (/.f64 1 (exp.f64 -1))))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 (exp.f64 -1)))) 2)) (pow.f64 f 2)) (sqrt.f64 (/.f64 1 (exp.f64 -1)))))))) |
(sqrt.f64 (exp.f64 -1)) |
(+.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 -1 (*.f64 (/.f64 n f) (sqrt.f64 (exp.f64 -1))))) |
(+.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (sqrt.f64 (exp.f64 -1)))) (*.f64 -1 (*.f64 (/.f64 n f) (sqrt.f64 (exp.f64 -1)))))) |
(+.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 f 3))) (/.f64 (exp.f64 -1) (pow.f64 f 3))) (pow.f64 n 3)) (sqrt.f64 (/.f64 1 (exp.f64 -1))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (sqrt.f64 (exp.f64 -1)))) (*.f64 -1 (*.f64 (/.f64 n f) (sqrt.f64 (exp.f64 -1))))))) |
(sqrt.f64 (E.f64)) |
(+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n)))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)) (pow.f64 n 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (-.f64 f (*.f64 -1 f)))))) (pow.f64 n 3)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)) (pow.f64 n 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n)))))) |
(sqrt.f64 (E.f64)) |
(+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n)))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)) (pow.f64 n 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n))))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)) (pow.f64 n 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (-.f64 f (*.f64 -1 f)))))) (pow.f64 n 3)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n)))))) |
| Outputs |
|---|
(log.f64 (sqrt.f64 (exp.f64 1))) |
(log.f64 (sqrt.f64 (E.f64))) |
(+.f64 (/.f64 f n) (log.f64 (sqrt.f64 (exp.f64 1)))) |
(+.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 f n)) |
(+.f64 (/.f64 f n) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2))) (/.f64 1 (pow.f64 n 2))))))) |
(+.f64 (+.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 f n)) (*.f64 (*.f64 1/2 (*.f64 f f)) (-.f64 (*.f64 (sqrt.f64 (/.f64 (exp.f64 -1) (E.f64))) (-.f64 (*.f64 4 (/.f64 (E.f64) (*.f64 n n))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2))) (/.f64 1 (*.f64 n n))))) |
(+.f64 (/.f64 f n) (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 (sqrt.f64 (exp.f64 -2)) (-.f64 (/.f64 (*.f64 (E.f64) 4) (*.f64 n n)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2)) (/.f64 -1 (*.f64 n n)))) (log.f64 (sqrt.f64 (E.f64))))) |
(+.f64 (/.f64 f n) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 3 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 22/3 (/.f64 (exp.f64 1) (pow.f64 n 3))) (*.f64 (sqrt.f64 (/.f64 (E.f64) (exp.f64 1))) (/.f64 (-.f64 (*.f64 4 (/.f64 (E.f64) (pow.f64 n 2))) (pow.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (exp.f64 1))) 2)) n))))) (*.f64 -3 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (/.f64 (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2)) n))))) (pow.f64 f 3))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2))) (/.f64 1 (pow.f64 n 2)))))))) |
(+.f64 (+.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 f n)) (fma.f64 1/6 (*.f64 (+.f64 (/.f64 2 (pow.f64 n 3)) (fma.f64 3 (*.f64 (sqrt.f64 (/.f64 (exp.f64 -1) (E.f64))) (-.f64 (*.f64 22/3 (/.f64 (E.f64) (pow.f64 n 3))) (*.f64 (/.f64 (-.f64 (*.f64 4 (/.f64 (E.f64) (*.f64 n n))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2)) n) (sqrt.f64 (/.f64 (E.f64) (E.f64)))))) (*.f64 (*.f64 -3 (sqrt.f64 (/.f64 (exp.f64 -1) (E.f64)))) (/.f64 (-.f64 (*.f64 4 (/.f64 (E.f64) (*.f64 n n))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2)) n)))) (pow.f64 f 3)) (*.f64 (*.f64 1/2 (*.f64 f f)) (-.f64 (*.f64 (sqrt.f64 (/.f64 (exp.f64 -1) (E.f64))) (-.f64 (*.f64 4 (/.f64 (E.f64) (*.f64 n n))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2))) (/.f64 1 (*.f64 n n)))))) |
(+.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (fma.f64 1/6 (*.f64 (+.f64 (/.f64 2 (pow.f64 n 3)) (fma.f64 -3 (*.f64 (sqrt.f64 (exp.f64 -2)) (-.f64 (/.f64 4 (/.f64 (pow.f64 n 3) (E.f64))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2) n))) (*.f64 (sqrt.f64 (exp.f64 -2)) (*.f64 (fma.f64 22/3 (/.f64 (E.f64) (pow.f64 n 3)) (*.f64 (-.f64 (/.f64 4 (/.f64 (pow.f64 n 3) (E.f64))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2) n)) -1)) 3)))) (pow.f64 f 3)) (*.f64 (fma.f64 (sqrt.f64 (exp.f64 -2)) (-.f64 (/.f64 (*.f64 (E.f64) 4) (*.f64 n n)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2)) (/.f64 -1 (*.f64 n n))) (*.f64 (*.f64 1/2 f) f))) (/.f64 f n))) |
(+.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (*.f64 (*.f64 f f) (+.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 (exp.f64 -2)) (-.f64 (/.f64 (*.f64 (E.f64) 4) (*.f64 n n)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2)) (/.f64 -1 (*.f64 n n)))) (*.f64 (*.f64 1/6 (+.f64 (/.f64 2 (pow.f64 n 3)) (*.f64 (sqrt.f64 (exp.f64 -2)) (+.f64 (*.f64 3 (-.f64 (/.f64 22/3 (/.f64 (pow.f64 n 3) (E.f64))) (-.f64 (/.f64 4 (/.f64 (pow.f64 n 3) (E.f64))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2) n)))) (*.f64 -3 (-.f64 (/.f64 4 (/.f64 (pow.f64 n 3) (E.f64))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2) n))))))) f))) (/.f64 f n))) |
(log.f64 (sqrt.f64 (exp.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (log.f64 (sqrt.f64 (exp.f64 -1)))) |
(fma.f64 1/2 (/.f64 (-.f64 (neg.f64 n) n) f) (log.f64 (sqrt.f64 (exp.f64 -1)))) |
(fma.f64 1/2 (/.f64 (*.f64 n -2) f) (log.f64 (sqrt.f64 (exp.f64 -1)))) |
(-.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (/.f64 n f)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (pow.f64 f 2))))) |
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 n) n) f) (log.f64 (sqrt.f64 (exp.f64 -1)))) (*.f64 1/2 (/.f64 (+.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (neg.f64 n) n) 2) (fma.f64 n (-.f64 (neg.f64 n) n) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2)))) (*.f64 -1/4 (pow.f64 (-.f64 (neg.f64 n) n) 2))) (*.f64 f f)))) |
(fma.f64 1/2 (/.f64 (*.f64 n -2) f) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (*.f64 n -2) 2) (+.f64 (*.f64 n (*.f64 n -2)) (*.f64 (pow.f64 (*.f64 n -2) 2) 1/4))) (*.f64 f f)) (log.f64 (sqrt.f64 (exp.f64 -1))))) |
(fma.f64 1/2 (/.f64 (*.f64 n (*.f64 n -2)) (*.f64 f f)) (-.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (/.f64 n f))) |
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(log.f64 (sqrt.f64 (exp.f64 1))) |
(log.f64 (sqrt.f64 (E.f64))) |
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(exp.f64 1) |
(E.f64) |
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(fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (E.f64)) |
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(fma.f64 4 (/.f64 (*.f64 f f) (/.f64 (*.f64 n n) (E.f64))) (fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (E.f64))) |
(fma.f64 4 (*.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (E.f64)) (fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (E.f64))) |
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(exp.f64 -1) |
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(fma.f64 -2 (/.f64 n (*.f64 (E.f64) f)) (exp.f64 -1)) |
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(exp.f64 -1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) |
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(*.f64 (+.f64 (/.f64 f n) 1) (sqrt.f64 (E.f64))) |
(*.f64 (sqrt.f64 (E.f64)) (+.f64 (/.f64 f n) 1)) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)) (pow.f64 n 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (exp.f64 -1)) (/.f64 (-.f64 (*.f64 (E.f64) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2)))) (pow.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (E.f64))) (-.f64 f (neg.f64 f))) 2)) (*.f64 n n))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 (*.f64 1/2 (sqrt.f64 (E.f64))) (/.f64 (-.f64 f (neg.f64 f)) n)))) |
(fma.f64 1/2 (*.f64 (/.f64 (fma.f64 (E.f64) (fma.f64 f (+.f64 f f) (*.f64 1/2 (pow.f64 (+.f64 f f) 2))) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (+.f64 f f))) 2))) n) (/.f64 (sqrt.f64 (exp.f64 -1)) n)) (fma.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (+.f64 f f) n)) (sqrt.f64 (E.f64)))) |
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (E.f64) 4) (*.f64 f f)) (*.f64 (E.f64) (*.f64 f f))) n) (/.f64 (sqrt.f64 (exp.f64 -1)) n)) (*.f64 (sqrt.f64 (E.f64)) (+.f64 (/.f64 f n) 1))) |
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)) (pow.f64 n 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (-.f64 f (*.f64 -1 f)))))) (pow.f64 n 3)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n)))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (exp.f64 -1)) (/.f64 (-.f64 (*.f64 (E.f64) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (neg.f64 f)))) 2)) (*.f64 n n))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (exp.f64 -1)) (/.f64 (+.f64 (*.f64 (E.f64) (fma.f64 -1/6 (pow.f64 (-.f64 f (neg.f64 f)) 3) (*.f64 -1 (fma.f64 (pow.f64 (-.f64 f (neg.f64 f)) 2) f (*.f64 (*.f64 f f) (-.f64 f (neg.f64 f))))))) (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (-.f64 f (neg.f64 f))) (-.f64 (*.f64 (E.f64) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (neg.f64 f)))) 2))))) (pow.f64 n 3))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 (*.f64 1/2 (sqrt.f64 (E.f64))) (/.f64 (-.f64 f (neg.f64 f)) n))))) |
(+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (+.f64 f f) n)) (sqrt.f64 (E.f64))) (*.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 (fma.f64 (E.f64) (fma.f64 f (+.f64 f f) (*.f64 1/2 (pow.f64 (+.f64 f f) 2))) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (+.f64 f f))) 2))) (*.f64 n n))) (*.f64 -1/2 (/.f64 (fma.f64 (E.f64) (fma.f64 -1/6 (pow.f64 (+.f64 f f) 3) (neg.f64 (fma.f64 f (pow.f64 (+.f64 f f) 2) (*.f64 (*.f64 f f) (+.f64 f f))))) (*.f64 (*.f64 1/2 (+.f64 f f)) (fma.f64 (E.f64) (fma.f64 f (+.f64 f f) (*.f64 1/2 (pow.f64 (+.f64 f f) 2))) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (+.f64 f f))) 2))))) (pow.f64 n 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (E.f64)) (+.f64 (/.f64 f n) 1)) (*.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (*.f64 (E.f64) 4) (*.f64 f f)) (*.f64 (E.f64) (*.f64 f f))) (*.f64 n n))) (*.f64 -1/2 (/.f64 (fma.f64 (E.f64) (-.f64 (*.f64 -1/6 (pow.f64 (+.f64 f f) 3)) (*.f64 (*.f64 f (+.f64 f f)) (+.f64 (+.f64 f f) f))) (*.f64 f (-.f64 (*.f64 (*.f64 (E.f64) 4) (*.f64 f f)) (*.f64 (E.f64) (*.f64 f f))))) (pow.f64 n 3)))))) |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 607 | 1 | 608 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 608 | 4 | 612 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (+.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) |
| ✓ | 0.0b | (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) |
| ✓ | 0.0b | (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) |
| ✓ | 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) |
Compiled 24405 to 10626 computations (56.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) | |
| 0.0b | (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) | |
| 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) | |
| 0.0b | (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) |
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 361 | 0 | 361 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 361 | 4 | 365 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) |
| ✓ | 0.0b | (log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) |
| ✓ | 0.0b | (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) |
| ✓ | 0.0b | (/.f64 (+.f64 f n) (-.f64 n f)) |
Compiled 13505 to 6530 computations (51.6% saved)
Total -40.7b remaining (-260775%)
Threshold costs -40.7b (-260775%)
| Inputs |
|---|
(+.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) |
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Outputs |
|---|
(+.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) |
| 5.0ms | 0.0b | f |
| 8.0ms | 0.0b | n |
| 2.0ms | 0.0b | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 104 to 36 computations (65.4% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 17 | 31 |
| 2 | 22 | 31 |
| 3 | 24 | 31 |
| 4 | 25 | 31 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) |
| Outputs |
|---|
(+.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) |
| 1× | done |
Compiled 44 to 22 computations (50% saved)
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