Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 9 to 7 computations (22.2% saved)
| 949.0ms | 2159× | body | 2048 | valid |
| 620.0ms | 4548× | body | 256 | valid |
| 440.0ms | 1047× | body | 1024 | valid |
| 88.0ms | 502× | body | 512 | valid |
| 2× | egg-herbie |
| 80× | fma-def |
| 44× | associate--r+ |
| 36× | associate-+l- |
| 30× | +-commutative |
| 28× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 14 | 21 |
| 2 | 18 | 21 |
| 3 | 26 | 21 |
| 4 | 35 | 21 |
| 5 | 52 | 21 |
| 6 | 103 | 21 |
| 7 | 141 | 21 |
| 8 | 187 | 21 |
| 9 | 233 | 21 |
| 10 | 257 | 21 |
| 11 | 259 | 21 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
| Outputs |
|---|
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 80× | fma-def |
| 44× | associate--r+ |
| 36× | associate-+l- |
| 30× | +-commutative |
| 28× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 14 | 21 |
| 2 | 18 | 21 |
| 3 | 26 | 21 |
| 4 | 35 | 21 |
| 5 | 52 | 21 |
| 6 | 103 | 21 |
| 7 | 141 | 21 |
| 8 | 187 | 21 |
| 9 | 233 | 21 |
| 10 | 257 | 21 |
| 11 | 259 | 21 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
| Outputs |
|---|
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
Compiled 8 to 6 computations (25% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 13.2b | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
Compiled 8 to 6 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (+.f64 N 1)) |
| ✓ | 1.5b | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
Compiled 19 to 12 computations (36.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | -inf | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
| 0.0ms | N | @ | inf | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
| 0.0ms | N | @ | 0 | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
| 0.0ms | N | @ | -inf | (atan.f64 (+.f64 N 1)) |
| 0.0ms | N | @ | 0 | (atan.f64 (+.f64 N 1)) |
| 1× | batch-egg-rewrite |
| 866× | *-commutative |
| 726× | associate-*r/ |
| 718× | unswap-sqr |
| 594× | associate-*l/ |
| 520× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 194 | 32 |
| 2 | 2594 | 32 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
(atan.f64 (+.f64 N 1)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1488× | associate-*r/ |
| 1096× | associate-*l/ |
| 928× | +-commutative |
| 868× | associate-+l- |
| 706× | associate-+r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 317 | 8295 |
| 1 | 880 | 7553 |
| 2 | 4352 | 7553 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) |
(atan.f64 (-.f64 1 (*.f64 -1 N))) |
(atan.f64 (-.f64 1 (*.f64 -1 N))) |
(atan.f64 (-.f64 1 (*.f64 -1 N))) |
(atan.f64 (-.f64 1 (*.f64 -1 N))) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (atan.f64 N) (pow.f64 (atan.f64 N) 3))) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 3) (pow.f64 (pow.f64 (atan.f64 N) 2) 3)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (pow.f64 (atan.f64 N) 2) (+.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (pow.f64 (atan.f64 N) 3) (pow.f64 (atan.f64 N) 3))) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 3) (pow.f64 (pow.f64 (atan.f64 N) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (+.f64 (*.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (pow.f64 (atan.f64 N) 3) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) 1) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) 1) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) |
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) |
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) |
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) |
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) |
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N))) |
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))) |
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N))) |
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N))) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1) |
(*.f64 1 (atan.f64 (+.f64 N 1))) |
(*.f64 (atan.f64 (+.f64 N 1)) 1) |
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1)))) |
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))) (*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))))) |
(pow.f64 (atan.f64 (+.f64 N 1)) 1) |
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2) |
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3) |
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) |
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))) |
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) |
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) |
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1)))) |
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1)))) |
| Outputs |
|---|
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(atan.f64 (-.f64 1 (*.f64 -1 N))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(atan.f64 (-.f64 1 (*.f64 -1 N))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(atan.f64 (-.f64 1 (*.f64 -1 N))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(atan.f64 (-.f64 1 (*.f64 -1 N))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))) |
(+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) |
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N)) |
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 N))) |
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) |
(+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (atan.f64 N))) |
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) |
(+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (atan.f64 N))) |
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))) |
(+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) |
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N)) |
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 N))) |
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) |
(+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (atan.f64 N))) |
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) |
(+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (atan.f64 N))) |
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))) |
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (*.f64 2 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))) |
(fma.f64 2 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) |
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))) |
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N))) |
(-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (+.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))) |
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))) |
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 N)))) |
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))) |
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N))) |
(-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (+.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))) |
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))) |
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))) |
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) |
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))) |
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) 1) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) 1) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) |
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))) |
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))) |
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))) |
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))) |
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) |
(/.f64 (+.f64 (pow.f64 (atan.f64 N) 2) (neg.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))) |
(/.f64 (-.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 1 N)) 2)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 1 N)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) |
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))) |
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))) |
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 2)) |
(fabs.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) |
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N))) |
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N))) |
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N))) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N))) |
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)) |
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) |
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(*.f64 1 (atan.f64 (+.f64 N 1))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(*.f64 (atan.f64 (+.f64 N 1)) 1) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1)))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1)))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))) (*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1))))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))))) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))))) |
(*.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))))) |
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))))) |
(pow.f64 (atan.f64 (+.f64 N 1)) 1) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) |
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2)) |
(fabs.f64 (atan.f64 (+.f64 1 N))) |
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1)))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1)))) |
(atan.f64 (-.f64 1 (neg.f64 N))) |
(atan.f64 (+.f64 1 N)) |
Compiled 5886 to 3789 computations (35.6% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 210 | 2 | 212 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 210 | 3 | 213 |
| Status | Error | Program |
|---|---|---|
| ▶ | 12.0b | (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N))) |
| ▶ | 0.5b | (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N))) |
| ✓ | 13.2b | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
Compiled 35 to 23 computations (34.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 N N (+.f64 1 N)) |
| ✓ | 0.5b | (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N))) |
Compiled 32 to 16 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | inf | (fma.f64 N N (+.f64 1 N)) |
| 0.0ms | N | @ | -inf | (fma.f64 N N (+.f64 1 N)) |
| 0.0ms | N | @ | 0 | (fma.f64 N N (+.f64 1 N)) |
| 0.0ms | N | @ | 0 | (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N))) |
| 0.0ms | N | @ | -inf | (atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N))) |
| 1× | batch-egg-rewrite |
| 1724× | add-sqr-sqrt |
| 1710× | *-un-lft-identity |
| 1586× | add-cube-cbrt |
| 1572× | add-cbrt-cube |
| 184× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 222 | 36 |
| 2 | 2215 | 36 |
| 1× | node limit |
| Inputs |
|---|
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N))) |
(fma.f64 N N (+.f64 1 N)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 N N) 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 N N) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 N N) 1) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 N N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (*.f64 N N) (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 N N (+.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N)))))))) |
| 1× | egg-herbie |
| 688× | distribute-lft-in |
| 626× | unswap-sqr |
| 608× | distribute-rgt-in |
| 552× | associate-/l* |
| 542× | associate-+l- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 1259 |
| 1 | 235 | 1223 |
| 2 | 1014 | 1219 |
| 3 | 4049 | 1219 |
| 1× | node limit |
| Inputs |
|---|
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
1 |
(+.f64 N 1) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(pow.f64 N 2) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(pow.f64 N 2) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1) |
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) |
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 (*.f64 N N) (+.f64 1 N)) |
(+.f64 (+.f64 (*.f64 N N) 1) N) |
(+.f64 (+.f64 (*.f64 N N) N) 1) |
(+.f64 (*.f64 (*.f64 N N) 1) (+.f64 1 N)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1) |
(*.f64 1 (fma.f64 N N (+.f64 1 N))) |
(*.f64 (fma.f64 N N (+.f64 1 N)) 1) |
(*.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N)))) |
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))) |
(/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (*.f64 N N) (+.f64 1 N))))) |
(pow.f64 (fma.f64 N N (+.f64 1 N)) 1) |
(pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)) |
(log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 1 N))))) |
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) |
(exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 N N (+.f64 1 N))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N)))) |
| Outputs |
|---|
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
1 |
(+.f64 N 1) |
(+.f64 1 N) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(pow.f64 N 2) |
(*.f64 N N) |
(+.f64 N (pow.f64 N 2)) |
(fma.f64 N N N) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(pow.f64 N 2) |
(*.f64 N N) |
(+.f64 N (pow.f64 N 2)) |
(fma.f64 N N N) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 (*.f64 N N) (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 (+.f64 (*.f64 N N) 1) N) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 (+.f64 (*.f64 N N) N) 1) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 (*.f64 (*.f64 N N) 1) (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(*.f64 1 (fma.f64 N N (+.f64 1 N))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(*.f64 (fma.f64 N N (+.f64 1 N)) 1) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(*.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N)))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2)) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N))) |
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N)) |
(/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (*.f64 N N) (+.f64 1 N))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (*.f64 N (+.f64 1 N)))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (fma.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))) (pow.f64 N 4))) |
(pow.f64 (fma.f64 N N (+.f64 1 N)) 1) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2)) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N)))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 1 N))))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3)) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N)))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 N N (+.f64 1 N))) 1)) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
(log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N)))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (fma.f64 N N 1)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 N 1) (*.f64 N N)) |
| ✓ | 0.0b | (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N))) |
| ✓ | 2.4b | (+.f64 N (-.f64 1 N)) |
Compiled 37 to 20 computations (45.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | -inf | (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N))) |
| 0.0ms | N | @ | 0 | (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N))) |
| 0.0ms | N | @ | inf | (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N))) |
| 0.0ms | N | @ | inf | (+.f64 (+.f64 N 1) (*.f64 N N)) |
| 0.0ms | N | @ | 0 | (+.f64 (+.f64 N 1) (*.f64 N N)) |
| 1× | batch-egg-rewrite |
| 1626× | associate-*l/ |
| 1052× | *-commutative |
| 702× | associate-/r* |
| 530× | associate-/r/ |
| 372× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 69 |
| 1 | 231 | 61 |
| 2 | 3436 | 61 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 N (-.f64 1 N)) |
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N))) |
(+.f64 (+.f64 N 1) (*.f64 N N)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 1 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 N))) (+.f64 N 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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N N (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 N 1) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 N N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 N N)))))) |
| 1× | egg-herbie |
| 1192× | +-commutative |
| 960× | associate--r+ |
| 852× | associate-+r- |
| 780× | associate-+l- |
| 500× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 547 | 8462 |
| 1 | 1688 | 7700 |
| 2 | 6393 | 7544 |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
1 |
(+.f64 N 1) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(pow.f64 N 2) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(pow.f64 N 2) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(-.f64 1 (-.f64 N N)) |
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N))) |
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N))) |
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))) |
(-.f64 (+.f64 N 1) N) |
(-.f64 (+.f64 N 1) (-.f64 1 (-.f64 1 N))) |
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 N) 1 N))) |
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N))) |
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 N))) (+.f64 N 1)) |
(-.f64 (exp.f64 (log.f64 (-.f64 2 N))) (-.f64 1 N)) |
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) 1) |
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 N) 1 N))) |
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N))) |
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))) |
(-.f64 (/.f64 1 (+.f64 N 1)) (-.f64 (/.f64 N (/.f64 (+.f64 N 1) N)) N)) |
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (-.f64 (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))) N)) |
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1)))) |
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 N) 1 N))) |
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N))) |
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))) |
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N))) |
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N)) |
(-.f64 (+.f64 N (exp.f64 (log.f64 (-.f64 2 N)))) 1) |
(-.f64 (+.f64 N (/.f64 1 (+.f64 N 1))) (/.f64 N (/.f64 (+.f64 N 1) N))) |
(-.f64 (+.f64 N (/.f64 1 (+.f64 1 (fma.f64 N N N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))) |
(-.f64 (+.f64 (-.f64 1 N) (+.f64 N 1)) 1) |
(-.f64 (+.f64 (+.f64 N 1) 0) N) |
(*.f64 1 (+.f64 N (-.f64 1 N))) |
(*.f64 (+.f64 N (-.f64 1 N)) 1) |
(*.f64 (sqrt.f64 (+.f64 N (-.f64 1 N))) (sqrt.f64 (+.f64 N (-.f64 1 N)))) |
(*.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2) (cbrt.f64 (+.f64 N (-.f64 1 N)))) |
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (/.f64 1 (+.f64 N (+.f64 N -1)))) |
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))) |
(*.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N))) |
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N)))) |
(*.f64 (/.f64 1 (+.f64 N (+.f64 N -1))) (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2))) |
(*.f64 (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2))) (+.f64 N (-.f64 1 N))) |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (*.f64 N N) (+.f64 (pow.f64 (-.f64 1 N) 2) (*.f64 N (-.f64 1 N))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 N 4) (*.f64 (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))) (-.f64 (*.f64 N N) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (+.f64 (pow.f64 N 6) (pow.f64 (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) 3))) (-.f64 (+.f64 (pow.f64 N 4) (*.f64 (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (*.f64 (*.f64 N N) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))) |
(/.f64 1 (/.f64 1 (+.f64 N (-.f64 1 N)))) |
(/.f64 (+.f64 N (-.f64 1 N)) (/.f64 (+.f64 N (+.f64 N -1)) (+.f64 N (+.f64 N -1)))) |
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(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 3) |
(pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3) 1/3) |
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(log.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))) |
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3)) |
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(exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) |
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(-.f64 (+.f64 2 (fma.f64 N N N)) 1) |
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(/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))) |
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(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (*.f64 N N)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))) (*.f64 N (+.f64 1 (*.f64 N N)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3) (pow.f64 (pow.f64 N 4) 3)) (*.f64 (+.f64 1 (-.f64 N (*.f64 N N))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (*.f64 (pow.f64 N 4) (pow.f64 N 4))) (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (neg.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (neg.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (fma.f64 N N N) (fma.f64 N N N))) 1) (-.f64 1 (fma.f64 N N N))) |
(/.f64 (*.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) 1) (-.f64 (+.f64 N -1) (*.f64 N N))) |
(/.f64 (*.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) 1) (-.f64 (fma.f64 N N -1) N)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) 1) (-.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (fma.f64 N N N))) (fma.f64 N N N))) |
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (*.f64 N N)) 3)) 1) (+.f64 (*.f64 N N) (-.f64 (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))) (*.f64 N (+.f64 1 (*.f64 N N)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 1) (neg.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) 1) (neg.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (sqrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (*.f64 (pow.f64 N 4) (pow.f64 N 4))) (/.f64 1 (+.f64 1 (-.f64 N (*.f64 N N))))) (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3) (pow.f64 (pow.f64 N 4) 3)) (/.f64 1 (+.f64 1 (-.f64 N (*.f64 N N))))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (*.f64 (pow.f64 N 4) (pow.f64 N 4))) (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (*.f64 (pow.f64 N 6) (pow.f64 N 6))) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 N 1) 3) 3) (pow.f64 (pow.f64 N 6) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (-.f64 (*.f64 (pow.f64 N 6) (pow.f64 N 6)) (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 1) (+.f64 1 (-.f64 N (*.f64 N N)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (sqrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) (sqrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 N (hypot.f64 1 (sqrt.f64 N)))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) N)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) 1) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) |
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1) |
(pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2)) |
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) |
(exp.f64 (log.f64 (+.f64 1 (fma.f64 N N N)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N)))) |
(fma.f64 N N (+.f64 N 1)) |
(fma.f64 1 N (+.f64 1 (*.f64 N N))) |
(fma.f64 1 (+.f64 N 1) (*.f64 N N)) |
(fma.f64 1 (*.f64 N N) (+.f64 N 1)) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1 (*.f64 N N))) |
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N N)) |
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1 (*.f64 N N))) |
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 N N)) |
| Outputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
1 |
(+.f64 N 1) |
(+.f64 1 N) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(pow.f64 N 2) |
(*.f64 N N) |
(+.f64 N (pow.f64 N 2)) |
(fma.f64 N N N) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(pow.f64 N 2) |
(*.f64 N N) |
(+.f64 N (pow.f64 N 2)) |
(fma.f64 N N N) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(-.f64 1 (-.f64 N N)) |
1 |
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N))) |
1 |
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N))) |
1 |
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))) |
1 |
(-.f64 (+.f64 N 1) N) |
1 |
(-.f64 (+.f64 N 1) (-.f64 1 (-.f64 1 N))) |
1 |
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 N) 1 N))) |
1 |
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N))) |
1 |
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))) |
1 |
(-.f64 (exp.f64 (log.f64 (+.f64 2 N))) (+.f64 N 1)) |
1 |
(-.f64 (exp.f64 (log.f64 (-.f64 2 N))) (-.f64 1 N)) |
1 |
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) 1) |
1 |
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 N) 1 N))) |
1 |
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N))) |
1 |
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))) |
1 |
(-.f64 (/.f64 1 (+.f64 N 1)) (-.f64 (/.f64 N (/.f64 (+.f64 N 1) N)) N)) |
(-.f64 (/.f64 1 (+.f64 1 N)) (-.f64 (/.f64 N (/.f64 (+.f64 1 N) N)) N)) |
(-.f64 (/.f64 1 (+.f64 1 N)) (*.f64 N (+.f64 (/.f64 N (+.f64 1 N)) -1))) |
(+.f64 (/.f64 1 (+.f64 1 N)) (-.f64 N (*.f64 N (/.f64 N (+.f64 1 N))))) |
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (-.f64 (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))) N)) |
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))) N) |
(+.f64 N (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))))) |
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1)))) |
1 |
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 N) 1 N))) |
1 |
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N))) |
1 |
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))) |
1 |
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N))) |
(-.f64 (/.f64 N (/.f64 (+.f64 N -1) N)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N))) |
(-.f64 (-.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) N) (/.f64 1 (+.f64 N -1))) |
(+.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) (-.f64 (/.f64 -1 (+.f64 N -1)) N)) |
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N)) |
(-.f64 (/.f64 N (/.f64 (+.f64 N -1) N)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N))) |
(-.f64 (-.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) N) (/.f64 1 (+.f64 N -1))) |
(+.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) (-.f64 (/.f64 -1 (+.f64 N -1)) N)) |
(-.f64 (+.f64 N (exp.f64 (log.f64 (-.f64 2 N)))) 1) |
1 |
(-.f64 (+.f64 N (/.f64 1 (+.f64 N 1))) (/.f64 N (/.f64 (+.f64 N 1) N))) |
(-.f64 (/.f64 1 (+.f64 1 N)) (-.f64 (/.f64 N (/.f64 (+.f64 1 N) N)) N)) |
(-.f64 (/.f64 1 (+.f64 1 N)) (*.f64 N (+.f64 (/.f64 N (+.f64 1 N)) -1))) |
(+.f64 (/.f64 1 (+.f64 1 N)) (-.f64 N (*.f64 N (/.f64 N (+.f64 1 N))))) |
(-.f64 (+.f64 N (/.f64 1 (+.f64 1 (fma.f64 N N N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))) |
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))) N) |
(+.f64 N (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))))) |
(-.f64 (+.f64 (-.f64 1 N) (+.f64 N 1)) 1) |
1 |
(-.f64 (+.f64 (+.f64 N 1) 0) N) |
1 |
(*.f64 1 (+.f64 N (-.f64 1 N))) |
1 |
(*.f64 (+.f64 N (-.f64 1 N)) 1) |
1 |
(*.f64 (sqrt.f64 (+.f64 N (-.f64 1 N))) (sqrt.f64 (+.f64 N (-.f64 1 N)))) |
1 |
(*.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2)) |
1 |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2) (cbrt.f64 (+.f64 N (-.f64 1 N)))) |
1 |
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (/.f64 1 (+.f64 N (+.f64 N -1)))) |
1 |
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) |
(*.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N))) |
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N)))) |
(*.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N))) |
(*.f64 (/.f64 1 (+.f64 N (+.f64 N -1))) (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2))) |
1 |
(*.f64 (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) |
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2))) (+.f64 N (-.f64 1 N))) |
1 |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (*.f64 N N) (+.f64 (pow.f64 (-.f64 1 N) 2) (*.f64 N (-.f64 1 N))))) |
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(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) |
(pow.f64 (+.f64 N (-.f64 1 N)) 1) |
1 |
(pow.f64 (sqrt.f64 (+.f64 N (-.f64 1 N))) 2) |
1 |
(pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 3) |
1 |
(pow.f64 (pow.f64 (+.f64 N (-.f64 1 N)) 3) 1/3) |
1 |
(sqrt.f64 (pow.f64 (+.f64 N (-.f64 1 N)) 2)) |
1 |
(log.f64 (exp.f64 (+.f64 N (-.f64 1 N)))) |
1 |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (-.f64 1 N))))) |
1 |
(cbrt.f64 (pow.f64 (+.f64 N (-.f64 1 N)) 3)) |
1 |
(expm1.f64 (log.f64 (-.f64 (+.f64 2 N) N))) |
1 |
(exp.f64 (log.f64 (+.f64 N (-.f64 1 N)))) |
1 |
(log1p.f64 (expm1.f64 (+.f64 N (-.f64 1 N)))) |
1 |
(fma.f64 1 N (-.f64 1 N)) |
1 |
(fma.f64 1 (-.f64 1 N) N) |
1 |
(fma.f64 1 (+.f64 N 1) (neg.f64 N)) |
1 |
(fma.f64 (sqrt.f64 (-.f64 1 N)) (sqrt.f64 (-.f64 1 N)) N) |
1 |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 1 N)) |
1 |
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (neg.f64 N)) |
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (-.f64 1 N)) |
1 |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2) (cbrt.f64 (-.f64 1 N)) N) |
1 |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (neg.f64 N)) |
1 |
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 1) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 1 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2)) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 3) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3) 1/3) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 2)) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) |
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(log.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3)) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(-.f64 (+.f64 N 1) (-.f64 1 (+.f64 1 (*.f64 N N)))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(-.f64 (+.f64 1 (*.f64 N N)) (-.f64 1 (+.f64 N 1))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 N))) (-.f64 1 (*.f64 N N))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) 1) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(-.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 1 (-.f64 N (*.f64 N N)))) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N))))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (*.f64 N N))) |
(-.f64 (/.f64 N (/.f64 (+.f64 N -1) N)) (-.f64 (/.f64 1 (+.f64 N -1)) (*.f64 N N))) |
(+.f64 (fma.f64 N N (*.f64 (/.f64 N (+.f64 N -1)) N)) (/.f64 -1 (+.f64 N -1))) |
(-.f64 (+.f64 2 (fma.f64 N N N)) 1) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(-.f64 (+.f64 (*.f64 N N) (exp.f64 (log.f64 (+.f64 2 N)))) 1) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(-.f64 (+.f64 (*.f64 N N) (/.f64 (*.f64 N N) (+.f64 N -1))) (/.f64 1 (+.f64 N -1))) |
(-.f64 (/.f64 N (/.f64 (+.f64 N -1) N)) (-.f64 (/.f64 1 (+.f64 N -1)) (*.f64 N N))) |
(+.f64 (fma.f64 N N (*.f64 (/.f64 N (+.f64 N -1)) N)) (/.f64 -1 (+.f64 N -1))) |
(*.f64 1 (+.f64 1 (fma.f64 N N N))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(*.f64 (+.f64 1 (fma.f64 N N N)) 1) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(*.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) |
(pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2) |
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 1 (+.f64 1 (-.f64 N (*.f64 N N))))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(*.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) |
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (fma.f64 2 N 1) 1) (pow.f64 N 3)))) |
(*.f64 (/.f64 1 (+.f64 1 (-.f64 N (*.f64 N N)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))) (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) |
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (fma.f64 2 N 1) 1) (pow.f64 N 3)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (+.f64 1 (fma.f64 N N N))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6))) (+.f64 (pow.f64 (+.f64 1 N) 2) (+.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 (pow.f64 (+.f64 1 N) 2) (fma.f64 N (fma.f64 N N N) (pow.f64 N 4)))) (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (*.f64 (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))) (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N)))))) (+.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 N (fma.f64 N N N)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (-.f64 (pow.f64 (+.f64 1 N) 4) (*.f64 (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))) (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N)))))) (+.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (*.f64 N (fma.f64 N N N)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (-.f64 (pow.f64 (+.f64 1 N) 4) (*.f64 (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))) (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N)))))) (fma.f64 N (fma.f64 N N N) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (+.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3) (pow.f64 (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (*.f64 (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))) (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))))) (*.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 N) 2) 3) (pow.f64 (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))) 3))) (+.f64 (pow.f64 (+.f64 1 N) 4) (-.f64 (*.f64 (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))) (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N)))) (*.f64 (pow.f64 (+.f64 1 N) 2) (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))) 3) (pow.f64 (+.f64 1 N) 6))) (+.f64 (pow.f64 (+.f64 1 N) 4) (*.f64 (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))) (-.f64 (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N))) (pow.f64 (+.f64 1 N) 2))))) |
(/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(/.f64 (+.f64 1 (fma.f64 N N N)) (/.f64 (+.f64 1 (-.f64 N (*.f64 N N))) (+.f64 1 (-.f64 N (*.f64 N N))))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))) |
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (fma.f64 2 N 1) 1) (pow.f64 N 3)))) |
(/.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))) (/.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))) (+.f64 1 (fma.f64 N N N)))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (/.f64 (+.f64 1 (-.f64 N (*.f64 N N))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (+.f64 1 (-.f64 N (*.f64 N N)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (-.f64 N (-.f64 (*.f64 N N) 1)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (/.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3))) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))) (sqrt.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)))) |
(*.f64 (hypot.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 N) 3/2)) (/.f64 (hypot.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 N) 3/2)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))) |
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(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (*.f64 (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (fma.f64 2 N 1) 1) (pow.f64 N 3))) (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 N 1) 3) 3) (pow.f64 (pow.f64 N 6) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (-.f64 (*.f64 (pow.f64 N 6) (pow.f64 N 6)) (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 N) 3) 3) (pow.f64 (pow.f64 N 6) 3)) (*.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))) (+.f64 (pow.f64 (+.f64 1 N) 6) (-.f64 (pow.f64 N 12) (*.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 N) 3) 3) (pow.f64 (pow.f64 N 6) 3)) (fma.f64 (pow.f64 N 6) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (pow.f64 (+.f64 1 N) 6))) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 N) 3) 3) (pow.f64 (pow.f64 N 6) 3)) (fma.f64 (pow.f64 N 6) (-.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (pow.f64 (+.f64 1 N) 6))) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (fma.f64 2 N 1) 1) (pow.f64 N 3)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 1) (+.f64 1 (-.f64 N (*.f64 N N)))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (sqrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) (sqrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 N (hypot.f64 1 (sqrt.f64 N)))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) N)) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 N)) N) (+.f64 N (hypot.f64 1 (sqrt.f64 N))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (*.f64 (+.f64 N (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) N))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) 1) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))) |
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (fma.f64 2 N 1) 1) (pow.f64 N 3)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) |
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (fma.f64 2 N 1) 1) (pow.f64 N 3)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) |
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (fma.f64 2 N 1) 1) (pow.f64 N 3)))) |
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/3) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2)) |
(fabs.f64 (+.f64 1 (fma.f64 N N N))) |
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N))))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(exp.f64 (log.f64 (+.f64 1 (fma.f64 N N N)))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N)))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(fma.f64 N N (+.f64 N 1)) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(fma.f64 1 N (+.f64 1 (*.f64 N N))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(fma.f64 1 (+.f64 N 1) (*.f64 N N)) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(fma.f64 1 (*.f64 N N) (+.f64 N 1)) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1 (*.f64 N N))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N N)) |
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1 (*.f64 N N))) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1)) |
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 N N)) |
(+.f64 (+.f64 1 N) (*.f64 N N)) |
(+.f64 1 (fma.f64 N N N)) |
Compiled 10218 to 6383 computations (37.5% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 368 | 6 | 374 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 0 | 2 |
| Total | 371 | 6 | 377 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.9b | (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
| ▶ | 27.1b | (atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))) |
| 21.6b | (atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))) | |
| ▶ | 28.8b | (atan2.f64 (+.f64 1 (-.f64 N N)) 1) |
| ▶ | 0.5b | (atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) |
| ▶ | 9.0b | (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
Compiled 190 to 126 computations (33.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (+.f64 N 1) (*.f64 N N)) | |
| ✓ | 0.5b | (atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) |
Compiled 25 to 13 computations (48% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) |
| 0.0ms | N | @ | -inf | (atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) |
| 0.0ms | N | @ | inf | (atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) |
| 1× | batch-egg-rewrite |
| 1868× | add-sqr-sqrt |
| 1848× | *-un-lft-identity |
| 1730× | add-cube-cbrt |
| 1716× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 1 | 174 | 21 |
| 2 | 2388 | 21 |
| 1× | node limit |
| Inputs |
|---|
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) |
| 1× | egg-herbie |
| 830× | *-commutative |
| 752× | associate-*r* |
| 604× | associate-*l* |
| 584× | distribute-lft-in |
| 520× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 750 |
| 1 | 100 | 630 |
| 2 | 404 | 630 |
| 3 | 2166 | 630 |
| 4 | 5384 | 630 |
| 1× | node limit |
| Inputs |
|---|
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1) |
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) |
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
| Outputs |
|---|
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
Compiled 18 to 9 computations (50% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))) |
| 2.4b | (+.f64 N (-.f64 1 N)) | |
| ✓ | 15.5b | (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) |
| ✓ | 18.4b | (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))) |
Compiled 108 to 51 computations (52.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))) |
| 0.0ms | N | @ | -inf | (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))) |
| 0.0ms | N | @ | inf | (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))) |
| 0.0ms | N | @ | inf | (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) |
| 0.0ms | N | @ | 0 | (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) |
| 1× | batch-egg-rewrite |
| 1706× | associate-/r/ |
| 670× | associate-+l+ |
| 416× | +-commutative |
| 334× | associate-+r+ |
| 316× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 105 |
| 1 | 298 | 57 |
| 2 | 4782 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))) |
(-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) |
(*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 N (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 N) -1) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 (neg.f64 N)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 N N 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 N N 1) (*.f64 (neg.f64 N) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 N N 1) (neg.f64 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N) (neg.f64 (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) (+.f64 (fma.f64 N N 1) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) (+.f64 1 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 N N) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 N N 1) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 N 4) (+.f64 (*.f64 N N) (fma.f64 N N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 N N) (fma.f64 N N 1)) (pow.f64 N 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (fma.f64 N N 1)) (-.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (fma.f64 N N 1)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (*.f64 N N) (pow.f64 N 4)))) (-.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 3)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (*.f64 N N) (pow.f64 N 4))) (*.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (+.f64 1 (pow.f64 N 6))) (*.f64 (-.f64 1 (*.f64 N N)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))))))) (#(struct:change #<rule 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(*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (*.f64 N N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 N N 1) 1 (+.f64 (*.f64 N N) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) (+.f64 (*.f64 N N) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) (+.f64 (*.f64 N N) (pow.f64 N 4))))))) |
| 1× | egg-herbie |
| 1226× | associate-/l* |
| 1142× | associate-*r* |
| 1094× | associate-*l* |
| 788× | +-commutative |
| 642× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 702 | 18446 |
| 1 | 2322 | 18114 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 N 1) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(pow.f64 N 2) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(pow.f64 N 2) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
-1 |
(-.f64 (*.f64 -1 (pow.f64 N 2)) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1) |
(*.f64 -1 (pow.f64 N 4)) |
(+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1) |
(*.f64 -1 (pow.f64 N 4)) |
(+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1) |
1 |
(+.f64 (*.f64 2 (pow.f64 N 2)) 1) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4))) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4))) |
(pow.f64 N 4) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (pow.f64 N 4)) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4))) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4))) |
(pow.f64 N 4) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (pow.f64 N 4)) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4))) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4))) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 (*.f64 N N) (+.f64 N 1)) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 1 (+.f64 (*.f64 (neg.f64 N) -1) (*.f64 N N))) |
(+.f64 1 (+.f64 (neg.f64 (neg.f64 N)) (*.f64 N N))) |
(+.f64 (fma.f64 N N 1) N) |
(+.f64 (fma.f64 N N 1) (*.f64 (neg.f64 N) -1)) |
(+.f64 (fma.f64 N N 1) (neg.f64 (neg.f64 N))) |
(+.f64 (+.f64 N 1) (*.f64 N N)) |
(+.f64 (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N) (neg.f64 (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))) |
(+.f64 (+.f64 N (*.f64 N N)) 1) |
(+.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))) (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N)) |
(+.f64 (-.f64 N 0) (fma.f64 N N 1)) |
(-.f64 N (-.f64 -1 (*.f64 N N))) |
(-.f64 1 (-.f64 (neg.f64 N) (*.f64 N N))) |
(-.f64 (fma.f64 N N 1) (neg.f64 N)) |
(-.f64 (fma.f64 N N 1) (-.f64 1 (+.f64 N 1))) |
(-.f64 (+.f64 N 1) (*.f64 N (neg.f64 N))) |
(-.f64 (+.f64 N 1) (+.f64 1 (-.f64 -1 (*.f64 N N)))) |
(-.f64 (+.f64 N 1) (-.f64 1 (fma.f64 N N 1))) |
(-.f64 (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (-.f64 1 N)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))) N)) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (+.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))) (neg.f64 N))) |
(-.f64 (+.f64 (+.f64 2 (*.f64 N N)) N) 1) |
(-.f64 (+.f64 N (exp.f64 (log1p.f64 (fma.f64 N N 1)))) 1) |
(-.f64 (+.f64 N (/.f64 1 (-.f64 1 (*.f64 N N)))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))) |
(-.f64 (+.f64 (fma.f64 N N 1) (+.f64 N 1)) 1) |
(-.f64 (-.f64 N (*.f64 N (neg.f64 N))) -1) |
(*.f64 1 (fma.f64 N N (+.f64 N 1))) |
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (/.f64 1 (-.f64 N (fma.f64 N N 1)))) |
(*.f64 (fma.f64 N N (+.f64 N 1)) 1) |
(*.f64 (fma.f64 N N (+.f64 N 1)) (*.f64 (-.f64 N (fma.f64 N N 1)) (/.f64 1 (-.f64 N (fma.f64 N N 1))))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (*.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (/.f64 1 (-.f64 N (fma.f64 N N 1))))) |
(*.f64 (sqrt.f64 (fma.f64 N N (+.f64 N 1))) (sqrt.f64 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (/.f64 1 (-.f64 N (fma.f64 N N 1))))) |
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (/.f64 1 (-.f64 N (fma.f64 N N 1))) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) |
(*.f64 (+.f64 (*.f64 N (neg.f64 N)) (pow.f64 (fma.f64 N N 1) 2)) (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N 1)))) |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 1) (/.f64 (+.f64 N (fma.f64 N N -1)) (-.f64 (pow.f64 (+.f64 N -1) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 1) (/.f64 (+.f64 (pow.f64 (+.f64 N -1) 2) (*.f64 (*.f64 N N) (+.f64 N (fma.f64 N N -1)))) (-.f64 (pow.f64 (+.f64 N -1) 3) (pow.f64 N 6)))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 N (fma.f64 N N 1)))) (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (sqrt.f64 (-.f64 N (fma.f64 N N 1))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N 1))) 2)) (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (-.f64 N (fma.f64 N N 1))))) |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (pow.f64 (+.f64 N -1) 2) (pow.f64 N 4))) (+.f64 N (fma.f64 N N -1))) |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (pow.f64 (+.f64 N -1) 3) (pow.f64 N 6))) (+.f64 (pow.f64 (+.f64 N -1) 2) (*.f64 (*.f64 N N) (+.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N -1) 2) (pow.f64 N 4))) (*.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 N (fma.f64 N N -1)))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N -1) 3) (pow.f64 N 6))) (*.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (+.f64 N -1) 2) (*.f64 (*.f64 N N) (+.f64 N (fma.f64 N N -1)))))) |
(*.f64 (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N 1))) (+.f64 (*.f64 N (neg.f64 N)) (pow.f64 (fma.f64 N N 1) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N 1))) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (-.f64 N (fma.f64 N N 1))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) (sqrt.f64 (-.f64 N (fma.f64 N N 1)))) (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (sqrt.f64 (-.f64 N (fma.f64 N N 1))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N 1))) 2)) (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (/.f64 (fma.f64 N N (+.f64 N 1)) 1) (/.f64 (-.f64 N (fma.f64 N N 1)) (-.f64 N (fma.f64 N N 1)))) |
(*.f64 (/.f64 (fma.f64 N N (+.f64 N 1)) (sqrt.f64 (-.f64 N (fma.f64 N N 1)))) (/.f64 (-.f64 N (fma.f64 N N 1)) (sqrt.f64 (-.f64 N (fma.f64 N N 1))))) |
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(*.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (fma.f64 N N 1) 4)) (-.f64 (pow.f64 N 4) (pow.f64 (fma.f64 N N 1) 4))) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (fma.f64 N N 1) 4)) (+.f64 (pow.f64 N 6) (pow.f64 (fma.f64 N N 1) 6))) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (fma.f64 N N 1) 4) (pow.f64 (*.f64 N (fma.f64 N N 1)) 2)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (fma.f64 N N 1) 6)) (-.f64 (*.f64 (pow.f64 N 4) (pow.f64 N 4)) (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 4) (pow.f64 (*.f64 N (fma.f64 N N 1)) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 4) (pow.f64 (*.f64 N (fma.f64 N N 1)) 2))))) (-.f64 (-.f64 (pow.f64 N 4) (pow.f64 (*.f64 N (fma.f64 N N 1)) 2)) (pow.f64 (fma.f64 N N 1) 4))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (fma.f64 N N 1) 6)) (+.f64 (pow.f64 (pow.f64 N 4) 3) (pow.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 4) (pow.f64 (*.f64 N (fma.f64 N N 1)) 2)) 3))) (+.f64 (*.f64 (pow.f64 N 4) (pow.f64 N 4)) (-.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 4) (pow.f64 (*.f64 N (fma.f64 N N 1)) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 4) (pow.f64 (*.f64 N (fma.f64 N N 1)) 2))) (*.f64 (pow.f64 N 4) (+.f64 (pow.f64 (fma.f64 N N 1) 4) (pow.f64 (*.f64 N (fma.f64 N N 1)) 2)))))) |
(/.f64 1 (/.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (pow.f64 N 4) (pow.f64 (fma.f64 N N 1) 4)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 4) (+.f64 (pow.f64 (*.f64 N (fma.f64 N N 1)) 2) (pow.f64 N 4))) (-.f64 (pow.f64 N 6) (pow.f64 (fma.f64 N N 1) 6)))) |
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (fma.f64 N N 1) 4)) (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2))) |
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (fma.f64 N N 1) 6)) (+.f64 (pow.f64 (fma.f64 N N 1) 4) (+.f64 (pow.f64 (*.f64 N (fma.f64 N N 1)) 2) (pow.f64 N 4)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N 4) (pow.f64 (fma.f64 N N 1) 4))) (neg.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N 6) (pow.f64 (fma.f64 N N 1) 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 4) (+.f64 (pow.f64 (*.f64 N (fma.f64 N N 1)) 2) (pow.f64 N 4))))) |
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) (-.f64 (*.f64 N N) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 2) (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) (-.f64 (*.f64 N N) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 3)) (-.f64 (+.f64 (pow.f64 N 4) (*.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) (*.f64 (*.f64 N N) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 3) (pow.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 2) (-.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) (*.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))))) |
(pow.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 3) |
(pow.f64 (pow.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 2)) |
(log.f64 (exp.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)))) |
(exp.f64 (log.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)))) |
(fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) |
(fma.f64 1 (*.f64 N N) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) |
(fma.f64 1 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) |
(fma.f64 (fma.f64 N N (+.f64 N 1)) (-.f64 N (fma.f64 N N 1)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) |
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 (*.f64 N N)) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (*.f64 N N) (+.f64 (fma.f64 N N 1) (pow.f64 N 4))) |
(+.f64 (*.f64 N N) (+.f64 1 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1))) |
(+.f64 1 (+.f64 (+.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 N 4))) |
(+.f64 1 (+.f64 (*.f64 N N) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1))) |
(+.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (fma.f64 N N 1) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1)) |
(+.f64 (pow.f64 N 4) (+.f64 (*.f64 N N) (fma.f64 N N 1))) |
(+.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (fma.f64 N N 1)) |
(+.f64 (+.f64 (*.f64 N N) (fma.f64 N N 1)) (pow.f64 N 4)) |
(+.f64 (+.f64 (fma.f64 N N 1) (pow.f64 N 4)) (*.f64 N N)) |
(+.f64 (+.f64 (+.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 N 4)) 1) |
(+.f64 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1) (fma.f64 N N 1)) |
(-.f64 (fma.f64 N N 1) (-.f64 1 (+.f64 (fma.f64 N N 1) (pow.f64 N 4)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (-.f64 1 (+.f64 (*.f64 N N) (pow.f64 N 4)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (-.f64 1 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N N 1) 2))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))) (+.f64 (*.f64 N N) (pow.f64 N 4)))) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1))) |
(-.f64 (+.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (exp.f64 (log1p.f64 (fma.f64 N N 1)))) 1) |
(-.f64 (+.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 1 (*.f64 N N)))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 4))) (*.f64 (-.f64 1 (*.f64 N N)) (-.f64 1 (*.f64 N N)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (+.f64 1 (pow.f64 N 6))) (*.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1)))) |
(/.f64 (*.f64 (fma.f64 N N 1) (-.f64 1 (pow.f64 N 4))) (-.f64 1 (*.f64 N N))) |
(/.f64 (*.f64 (fma.f64 N N 1) (+.f64 1 (pow.f64 N 6))) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (fma.f64 N N 1)) (-.f64 1 (*.f64 N N))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (fma.f64 N N 1)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (*.f64 N N) (pow.f64 N 4)))) (-.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 3)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (*.f64 N N) (pow.f64 N 4))) (*.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4)))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (+.f64 1 (pow.f64 N 6))) (*.f64 (-.f64 1 (*.f64 N N)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 1 (pow.f64 N 4))) (*.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 1 (*.f64 N N)))) |
(pow.f64 (fma.f64 N N 1) 2) |
(pow.f64 (pow.f64 (fma.f64 N N 1) 2) 1) |
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) 3) |
(pow.f64 (pow.f64 (fma.f64 N N 1) 6) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 N N 1) 4)) |
(log.f64 (exp.f64 (pow.f64 (fma.f64 N N 1) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N N 1) 2)))) |
(cbrt.f64 (pow.f64 (fma.f64 N N 1) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N N 1) 2))) |
(exp.f64 (*.f64 2 (log1p.f64 (*.f64 N N)))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 N N)) 2)) |
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (*.f64 N N))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N N 1) 2))) |
(fma.f64 1 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4))) |
(fma.f64 (fma.f64 N N 1) 1 (+.f64 (*.f64 N N) (pow.f64 N 4))) |
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) (+.f64 (*.f64 N N) (pow.f64 N 4))) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) (+.f64 (*.f64 N N) (pow.f64 N 4))) |
| Outputs |
|---|
1 |
(+.f64 N 1) |
(+.f64 1 N) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (fma.f64 N N 1)) |
(pow.f64 N 2) |
(*.f64 N N) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (*.f64 N N)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (fma.f64 N N 1)) |
(pow.f64 N 2) |
(*.f64 N N) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (*.f64 N N)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (fma.f64 N N 1)) |
-1 |
(-.f64 (*.f64 -1 (pow.f64 N 2)) 1) |
(fma.f64 -1 (*.f64 N N) -1) |
(-.f64 -1 (*.f64 N N)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1) |
(+.f64 (neg.f64 (fma.f64 N N (pow.f64 N 4))) -1) |
(+.f64 -1 (neg.f64 (fma.f64 N N (pow.f64 N 4)))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1) |
(+.f64 (neg.f64 (fma.f64 N N (pow.f64 N 4))) -1) |
(+.f64 -1 (neg.f64 (fma.f64 N N (pow.f64 N 4)))) |
(*.f64 -1 (pow.f64 N 4)) |
(neg.f64 (pow.f64 N 4)) |
(+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) |
(neg.f64 (fma.f64 N N (pow.f64 N 4))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1) |
(+.f64 (neg.f64 (fma.f64 N N (pow.f64 N 4))) -1) |
(+.f64 -1 (neg.f64 (fma.f64 N N (pow.f64 N 4)))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1) |
(+.f64 (neg.f64 (fma.f64 N N (pow.f64 N 4))) -1) |
(+.f64 -1 (neg.f64 (fma.f64 N N (pow.f64 N 4)))) |
(*.f64 -1 (pow.f64 N 4)) |
(neg.f64 (pow.f64 N 4)) |
(+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) |
(neg.f64 (fma.f64 N N (pow.f64 N 4))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1) |
(+.f64 (neg.f64 (fma.f64 N N (pow.f64 N 4))) -1) |
(+.f64 -1 (neg.f64 (fma.f64 N N (pow.f64 N 4)))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1) |
(+.f64 (neg.f64 (fma.f64 N N (pow.f64 N 4))) -1) |
(+.f64 -1 (neg.f64 (fma.f64 N N (pow.f64 N 4)))) |
1 |
(+.f64 (*.f64 2 (pow.f64 N 2)) 1) |
(fma.f64 2 (*.f64 N N) 1) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4))) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4))) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(pow.f64 N 4) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (pow.f64 N 4)) |
(fma.f64 2 (*.f64 N N) (pow.f64 N 4)) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4))) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4))) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(pow.f64 N 4) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (pow.f64 N 4)) |
(fma.f64 2 (*.f64 N N) (pow.f64 N 4)) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4))) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4))) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 (*.f64 N N) (+.f64 N 1)) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 1 (+.f64 (*.f64 (neg.f64 N) -1) (*.f64 N N))) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 1 (+.f64 (neg.f64 (neg.f64 N)) (*.f64 N N))) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 (fma.f64 N N 1) N) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 (fma.f64 N N 1) (*.f64 (neg.f64 N) -1)) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 (fma.f64 N N 1) (neg.f64 (neg.f64 N))) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 (+.f64 N 1) (*.f64 N N)) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N) (neg.f64 (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))) |
(-.f64 (*.f64 N (/.f64 N (-.f64 N (fma.f64 N N 1)))) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))) |
(-.f64 (/.f64 N (/.f64 (-.f64 N (fma.f64 N N 1)) N)) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))) |
(+.f64 (+.f64 N (*.f64 N N)) 1) |
(+.f64 N (fma.f64 N N 1)) |
(+.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))) (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N)) |
(-.f64 (*.f64 N (/.f64 N (-.f64 N (fma.f64 N N 1)))) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))) |
(-.f64 (/.f64 N (/.f64 (-.f64 N (fma.f64 N N 1)) N)) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))) |
(+.f64 (-.f64 N 0) (fma.f64 N N 1)) |
(+.f64 N (fma.f64 N N 1)) |
(-.f64 N (-.f64 -1 (*.f64 N N))) |
(+.f64 N (fma.f64 N N 1)) |
(-.f64 1 (-.f64 (neg.f64 N) (*.f64 N N))) |
(+.f64 N (fma.f64 N N 1)) |
(-.f64 (fma.f64 N N 1) (neg.f64 N)) |
(+.f64 N (fma.f64 N N 1)) |
(-.f64 (fma.f64 N N 1) (-.f64 1 (+.f64 N 1))) |
(+.f64 N (fma.f64 N N 1)) |
(-.f64 (+.f64 N 1) (*.f64 N (neg.f64 N))) |
(+.f64 N (fma.f64 N N 1)) |
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(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (*.f64 N N) (+.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (*.f64 N N) (+.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1) (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)))) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (*.f64 N N) (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)))) |
(-.f64 (fma.f64 N N (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (*.f64 N N) (+.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) |
(fma.f64 N N (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4))) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (*.f64 N N) (+.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)))) |
(-.f64 (fma.f64 N N (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1)) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2))) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) |
(-.f64 (fma.f64 N N (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) |
(fma.f64 N N (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4))) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (*.f64 2 (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (*.f64 4 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1) (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))))) |
(+.f64 (-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (-.f64 (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 N N (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1) (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)) (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)) (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) |
(fma.f64 N N (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4))) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1) (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) |
(fma.f64 N N (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4))) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) |
(fma.f64 N N (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4))) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (-.f64 (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 N N (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) |
(fma.f64 N N (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4))) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) |
(fma.f64 N N (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4))) (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (+.f64 (*.f64 (*.f64 N N) (-.f64 -1 (*.f64 N N))) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (-.f64 0 (*.f64 N N)) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (*.f64 N N) (-.f64 0 (*.f64 N N)))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (+.f64 (neg.f64 (+.f64 (*.f64 N N) (pow.f64 N 4))) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (+.f64 (*.f64 N N) (neg.f64 (fma.f64 N N (pow.f64 N 4))))) |
(-.f64 (fma.f64 N N -1) (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (*.f64 N N)) |
(-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (*.f64 N N) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (*.f64 N N) (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (*.f64 N N) (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1))) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (*.f64 N N) (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)))) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (*.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)))) |
(-.f64 (fma.f64 N N (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)))) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) (*.f64 N N)) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (*.f64 (-.f64 -1 (*.f64 N N)) 1) (+.f64 (*.f64 (-.f64 -1 (*.f64 N N)) (*.f64 N N)) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (-.f64 0 (*.f64 N N)) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (*.f64 N N) (-.f64 0 (*.f64 N N)))) |
(+.f64 (*.f64 (-.f64 -1 (*.f64 N N)) (*.f64 N N)) (+.f64 (*.f64 (-.f64 -1 (*.f64 N N)) 1) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (-.f64 0 (*.f64 N N)) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (*.f64 N N) (-.f64 0 (*.f64 N N)))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1) (*.f64 N N)) |
(-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) 1) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (*.f64 (*.f64 N N) (-.f64 -1 (*.f64 N N))) (+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (-.f64 0 (*.f64 N N)) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (*.f64 N N) (-.f64 0 (*.f64 N N)))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1 (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) |
(-.f64 (fma.f64 N N (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (+.f64 (*.f64 N N) (-.f64 -1 (*.f64 N N))) (*.f64 (*.f64 N N) (-.f64 -1 (*.f64 N N)))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (-.f64 0 (*.f64 N N)) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (*.f64 N N) (-.f64 0 (*.f64 N N)))) |
(+.f64 (+.f64 (*.f64 N N) (-.f64 -1 (*.f64 N N))) (neg.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (+.f64 (*.f64 N N) (neg.f64 (fma.f64 N N (pow.f64 N 4))))) |
(-.f64 (fma.f64 N N -1) (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (+.f64 (*.f64 N N) (*.f64 (-.f64 -1 (*.f64 N N)) 1)) (*.f64 (-.f64 -1 (*.f64 N N)) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (-.f64 0 (*.f64 N N)) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (*.f64 N N) (-.f64 0 (*.f64 N N)))) |
(+.f64 (+.f64 (*.f64 N N) (*.f64 (-.f64 -1 (*.f64 N N)) (*.f64 N N))) (*.f64 (-.f64 -1 (*.f64 N N)) 1)) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (-.f64 0 (*.f64 N N)) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (*.f64 N N) (-.f64 0 (*.f64 N N)))) |
(+.f64 (+.f64 (*.f64 N N) (*.f64 (*.f64 N N) (-.f64 -1 (*.f64 N N)))) (-.f64 -1 (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (-.f64 0 (*.f64 N N)) (*.f64 N N))) |
(+.f64 (-.f64 -1 (*.f64 N N)) (*.f64 (*.f64 N N) (-.f64 0 (*.f64 N N)))) |
(+.f64 (+.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (*.f64 N N)) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (*.f64 N N)) (+.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))) |
(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2)) |
(+.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (*.f64 N N)) (*.f64 (neg.f64 (pow.f64 (fma.f64 N N 1) 2)) 1)) |
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(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
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(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))) |
(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2)) |
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) |
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 (*.f64 N N)) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) |
(+.f64 (*.f64 N N) (+.f64 (fma.f64 N N 1) (pow.f64 N 4))) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (*.f64 N N) (+.f64 1 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1))) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 1 (+.f64 (+.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 N 4))) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 1 (+.f64 (*.f64 N N) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1))) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (fma.f64 N N 1) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1)) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (pow.f64 N 4) (+.f64 (*.f64 N N) (fma.f64 N N 1))) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (fma.f64 N N 1)) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (+.f64 (*.f64 N N) (fma.f64 N N 1)) (pow.f64 N 4)) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (+.f64 (fma.f64 N N 1) (pow.f64 N 4)) (*.f64 N N)) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (+.f64 (+.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 N 4)) 1) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(+.f64 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1) (fma.f64 N N 1)) |
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4))) |
(-.f64 (fma.f64 N N 1) (-.f64 1 (+.f64 (fma.f64 N N 1) (pow.f64 N 4)))) |
(+.f64 (-.f64 (fma.f64 N N 1) 1) (+.f64 (pow.f64 N 4) (fma.f64 N N 1))) |
(-.f64 (fma.f64 N N 1) (neg.f64 (fma.f64 N N (pow.f64 N 4)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (-.f64 1 (+.f64 (*.f64 N N) (pow.f64 N 4)))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) 1) (fma.f64 N N (pow.f64 N 4))) |
(+.f64 -1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (fma.f64 N N (pow.f64 N 4)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (-.f64 1 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) 1) (fma.f64 N N (pow.f64 N 4))) |
(+.f64 -1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (fma.f64 N N (pow.f64 N 4)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N N 1) 2))) 1) |
(pow.f64 (fma.f64 N N 1) 2) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))) (+.f64 (*.f64 N N) (pow.f64 N 4)))) |
(+.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))) (fma.f64 N N (pow.f64 N 4))) |
(+.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (fma.f64 N N (pow.f64 N 4)) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))))) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1))) |
(+.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))) (fma.f64 N N (pow.f64 N 4))) |
(+.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (fma.f64 N N (pow.f64 N 4)) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))))) |
(-.f64 (+.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (exp.f64 (log1p.f64 (fma.f64 N N 1)))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) 1) (fma.f64 N N (pow.f64 N 4))) |
(+.f64 -1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (fma.f64 N N (pow.f64 N 4)))) |
(-.f64 (+.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 1 (*.f64 N N)))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))) |
(+.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))) (fma.f64 N N (pow.f64 N 4))) |
(+.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (fma.f64 N N (pow.f64 N 4)) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 4))) (*.f64 (-.f64 1 (*.f64 N N)) (-.f64 1 (*.f64 N N)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N))) (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (+.f64 1 (pow.f64 N 6))) (*.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1)))) |
(/.f64 (*.f64 (fma.f64 N N 1) (-.f64 1 (pow.f64 N 4))) (-.f64 1 (*.f64 N N))) |
(/.f64 (fma.f64 N N 1) (/.f64 (-.f64 1 (*.f64 N N)) (-.f64 1 (pow.f64 N 4)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N))) (fma.f64 N N 1)) |
(/.f64 (*.f64 (fma.f64 N N 1) (+.f64 1 (pow.f64 N 6))) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) |
(/.f64 (fma.f64 N N 1) (/.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (+.f64 1 (pow.f64 N 6)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) (fma.f64 N N 1)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (fma.f64 N N 1)) (-.f64 1 (*.f64 N N))) |
(/.f64 (fma.f64 N N 1) (/.f64 (-.f64 1 (*.f64 N N)) (-.f64 1 (pow.f64 N 4)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N))) (fma.f64 N N 1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (fma.f64 N N 1)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) |
(/.f64 (fma.f64 N N 1) (/.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (+.f64 1 (pow.f64 N 6)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) (fma.f64 N N 1)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (*.f64 N N) (pow.f64 N 4)))) (-.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 (fma.f64 N N (pow.f64 N 4)) (fma.f64 N N (pow.f64 N 4)))) (-.f64 (fma.f64 N N 1) (fma.f64 N N (pow.f64 N 4)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 3)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (*.f64 N N) (pow.f64 N 4))) (*.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 (fma.f64 N N (pow.f64 N 4)) 3)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 (fma.f64 N N (pow.f64 N 4)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (fma.f64 N N 1))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (+.f64 1 (pow.f64 N 6))) (*.f64 (-.f64 1 (*.f64 N N)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N)))) |
(/.f64 (-.f64 1 (pow.f64 N 4)) (/.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 1 (*.f64 N N))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 1 (pow.f64 N 4))) (*.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 1 (*.f64 N N)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N)))) |
(/.f64 (-.f64 1 (pow.f64 N 4)) (/.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 1 (*.f64 N N))))) |
(pow.f64 (fma.f64 N N 1) 2) |
(pow.f64 (pow.f64 (fma.f64 N N 1) 2) 1) |
(pow.f64 (fma.f64 N N 1) 2) |
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) 3) |
(pow.f64 (fma.f64 N N 1) 2) |
(pow.f64 (pow.f64 (fma.f64 N N 1) 6) 1/3) |
(cbrt.f64 (pow.f64 (fma.f64 N N 1) 6)) |
(sqrt.f64 (pow.f64 (fma.f64 N N 1) 4)) |
(log.f64 (exp.f64 (pow.f64 (fma.f64 N N 1) 2))) |
(pow.f64 (fma.f64 N N 1) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N N 1) 2)))) |
(pow.f64 (fma.f64 N N 1) 2) |
(cbrt.f64 (pow.f64 (fma.f64 N N 1) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N N 1) 2))) |
(pow.f64 (fma.f64 N N 1) 2) |
(exp.f64 (*.f64 2 (log1p.f64 (*.f64 N N)))) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 N N))) 2) |
(pow.f64 (exp.f64 2) (log1p.f64 (*.f64 N N))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 N N)) 2)) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 N N))) 2) |
(pow.f64 (exp.f64 2) (log1p.f64 (*.f64 N N))) |
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (*.f64 N N))) 1)) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 N N))) 2) |
(pow.f64 (exp.f64 2) (log1p.f64 (*.f64 N N))) |
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N N 1) 2))) |
(pow.f64 (fma.f64 N N 1) 2) |
(fma.f64 1 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4))) |
(fma.f64 1 (fma.f64 N N 1) (fma.f64 N N (pow.f64 N 4))) |
(fma.f64 (fma.f64 N N 1) 1 (+.f64 (*.f64 N N) (pow.f64 N 4))) |
(fma.f64 1 (fma.f64 N N 1) (fma.f64 N N (pow.f64 N 4))) |
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) (+.f64 (*.f64 N N) (pow.f64 N 4))) |
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) (fma.f64 N N (pow.f64 N 4))) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) (+.f64 (*.f64 N N) (pow.f64 N 4))) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) (fma.f64 N N (pow.f64 N 4))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 N N (+.f64 1 N)) | |
| ✓ | 0.5b | (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
| ✓ | 0.6b | (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
| ✓ | 9.0b | (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
Compiled 42 to 28 computations (33.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | N | @ | inf | (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
| 1.0ms | N | @ | -inf | (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
| 1.0ms | N | @ | 0 | (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
| 0.0ms | N | @ | 0 | (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
| 0.0ms | N | @ | -inf | (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
| 1× | batch-egg-rewrite |
| 816× | *-commutative |
| 664× | unswap-sqr |
| 498× | swap-sqr |
| 424× | distribute-lft-in |
| 414× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 69 |
| 1 | 244 | 69 |
| 2 | 2634 | 69 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
| Outputs |
|---|
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3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6))) (*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))) (exp.f64 (log1p.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) |
| 1× | egg-herbie |
| 1096× | associate-+r+ |
| 1048× | associate-+l+ |
| 1012× | associate-/r* |
| 748× | distribute-lft-in |
| 746× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 5144 |
| 1 | 365 | 4300 |
| 2 | 1356 | 4132 |
| 3 | 4282 | 4132 |
| 1× | node limit |
| Inputs |
|---|
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1) |
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) |
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6))) |
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2)) |
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) |
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 2/3) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) |
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))) -1) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))) 1) |
(*.f64 1 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) 3)) |
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1) |
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) |
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) |
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) 3) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)) (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2))) |
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2)) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2))) |
(*.f64 (*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6))) (*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 3) 1/6)) |
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 3/4)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))) (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))) 1)) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 6)) |
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))) |
(exp.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))) |
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1) |
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) |
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6))) |
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2)) |
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) |
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 2/3) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) |
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
| Outputs |
|---|
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) |
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 N 1))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6))) |
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(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 2/3) |
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)))) |
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))) |
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 1/6) 4) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 N N (+.f64 1 N)) | |
| ✓ | 0.2b | (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
| 0.5b | (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) | |
| ✓ | 14.7b | (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
Compiled 41 to 27 computations (34.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | N | @ | 0 | (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
| 1.0ms | N | @ | inf | (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
| 1.0ms | N | @ | -inf | (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
| 1.0ms | N | @ | -inf | (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
| 1.0ms | N | @ | inf | (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
| 1× | batch-egg-rewrite |
| 816× | *-commutative |
| 664× | unswap-sqr |
| 498× | swap-sqr |
| 424× | distribute-lft-in |
| 414× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 1 | 244 | 46 |
| 2 | 2634 | 46 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N 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1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) |
| 1× | egg-herbie |
| 1340× | associate-+r+ |
| 1246× | associate-+l+ |
| 1108× | associate-/r* |
| 718× | associate-/l* |
| 590× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 3700 |
| 1 | 364 | 2796 |
| 2 | 1289 | 2692 |
| 3 | 3302 | 2692 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))) |
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) |
(*.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) |
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2)) |
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/3) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2/3) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1) |
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3)) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2))) |
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4)) |
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) |
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
| Outputs |
|---|
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6))) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2)) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))) |
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(pow.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/6) 4) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))) |
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)))) |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))) |
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) |
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/3) |
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
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(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
Compiled 33917 to 21525 computations (36.5% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1001 | 10 | 1011 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 1006 | 11 | 1017 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.9b | (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) 3) |
| 29.3b | (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3) | |
| ▶ | 21.7b | (atan2.f64 1 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) |
| ▶ | 21.6b | (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))) |
| ▶ | 21.6b | (atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))) |
| ✓ | 0.5b | (atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) |
| 28.1b | (atan2.f64 1 (+.f64 N 1)) | |
| ▶ | 29.1b | (atan2.f64 1 (*.f64 N N)) |
| 2.2b | (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) | |
| 5.7b | (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))) | |
| 37.4b | (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)) |
Compiled 370 to 257 computations (30.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3) |
| ✓ | 0.5b | (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
| ✓ | 14.7b | (cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
| ✓ | 14.9b | (cbrt.f64 (fma.f64 N N (+.f64 1 N))) |
Compiled 66 to 46 computations (30.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | N | @ | 0 | (cbrt.f64 (fma.f64 N N (+.f64 1 N))) |
| 1.0ms | N | @ | -inf | (cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
| 1.0ms | N | @ | inf | (cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
| 1.0ms | N | @ | 0 | (cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
| 1.0ms | N | @ | inf | (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3) |
| 1× | batch-egg-rewrite |
| 880× | *-commutative |
| 716× | unswap-sqr |
| 532× | swap-sqr |
| 452× | distribute-lft-in |
| 442× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 80 |
| 1 | 260 | 80 |
| 2 | 2805 | 80 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (fma.f64 N N (+.f64 1 N))) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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| 1× | egg-herbie |
| 1174× | fma-def |
| 714× | associate-*r* |
| 654× | associate-*l* |
| 490× | associate-+l+ |
| 432× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 336 | 7738 |
| 1 | 858 | 5554 |
| 2 | 3371 | 5304 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/3 N) 1) |
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) 1)) |
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3))))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) |
1 |
(+.f64 N 1) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) 1) |
(*.f64 1 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 1) |
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) |
(*.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) 3/2)) |
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) |
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(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 1) |
(pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) |
(pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2/3) |
(pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) |
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) |
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) 1) |
(*.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) |
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) 1/6))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) |
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 3/2)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) 1)) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2/3) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) |
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) |
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 1) |
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2)) |
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) |
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(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6)) |
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(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 3) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) |
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(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2)) |
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) |
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) |
(+.f64 N (+.f64 1 (*.f64 N N))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 (+.f64 N 1) (*.f64 N N)) |
(+.f64 (*.f64 N N) (+.f64 N 1)) |
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(+.f64 (+.f64 N (*.f64 N N)) 1) |
(+.f64 (*.f64 1 (+.f64 1 (*.f64 N N))) N) |
(+.f64 (*.f64 (+.f64 N (*.f64 N N)) 1) 1) |
(+.f64 (*.f64 (+.f64 1 (*.f64 N N)) 1) N) |
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(-.f64 (exp.f64 (log.f64 (+.f64 2 N))) (-.f64 1 (*.f64 N N))) |
(-.f64 (/.f64 1 (-.f64 1 N)) (-.f64 (/.f64 N (/.f64 (-.f64 1 N) N)) (*.f64 N N))) |
(-.f64 (+.f64 (+.f64 2 N) (*.f64 N N)) 1) |
(-.f64 (+.f64 (*.f64 N N) (exp.f64 (log.f64 (+.f64 2 N)))) 1) |
(-.f64 (+.f64 (*.f64 N N) (/.f64 1 (-.f64 1 N))) (/.f64 N (/.f64 (-.f64 1 N) N))) |
(*.f64 1 (fma.f64 N N (+.f64 N 1))) |
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) |
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) 3)) |
(*.f64 (fma.f64 N N (+.f64 N 1)) 1) |
(*.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) |
(*.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) (*.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))) |
(*.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (-.f64 (*.f64 N N) (+.f64 N 1)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (*.f64 N N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (-.f64 (+.f64 N 1) (*.f64 N N)))))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) 3) (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) |
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (fma.f64 N N (+.f64 N 1))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)) (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (*.f64 (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4) (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4) (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2) (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))))) (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2) (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))))) |
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4)) (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4)) (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4))) |
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2)) (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6))) (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 3/4)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 3) 1/6)) |
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (*.f64 N N) (+.f64 N 1))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (*.f64 N N) 3)) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (-.f64 (+.f64 N 1) (*.f64 N N))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (-.f64 (*.f64 N N) (+.f64 N 1))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (*.f64 N N) 3))) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (-.f64 (+.f64 N 1) (*.f64 N N))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) 1) (-.f64 (*.f64 N N) (+.f64 N 1))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (*.f64 N N) 3)) 1) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (-.f64 (+.f64 N 1) (*.f64 N N))))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N)))) (-.f64 1 (+.f64 N (*.f64 N N)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (*.f64 N N))) |
(/.f64 (-.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) 1) (-.f64 (+.f64 N (*.f64 N N)) 1)) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))) (*.f64 N N)) (+.f64 (*.f64 N N) (-.f64 1 N))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) 1)) |
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 2)) |
(log.f64 (exp.f64 (fma.f64 N N (+.f64 N 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 N 1))))) |
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) |
(exp.f64 (log.f64 (fma.f64 N N (+.f64 N 1)))) |
(log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 N 1)))) |
(fma.f64 N N (+.f64 N 1)) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/3 N) 1) |
(fma.f64 1/3 N 1) |
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) 1)) |
(fma.f64 1/3 N (fma.f64 2/9 (*.f64 N N) 1)) |
(fma.f64 1/3 N (fma.f64 N (*.f64 N 2/9) 1)) |
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3))))) |
(fma.f64 1/3 N (+.f64 (fma.f64 2/9 (*.f64 N N) 1) (*.f64 -13/81 (pow.f64 N 3)))) |
(fma.f64 1/3 N (fma.f64 2/9 (*.f64 N N) (fma.f64 -13/81 (pow.f64 N 3) 1))) |
(fma.f64 1/3 N (fma.f64 N (*.f64 N 2/9) (fma.f64 -13/81 (pow.f64 N 3) 1))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3) |
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) |
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) |
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
1 |
(+.f64 N 1) |
(+.f64 1 N) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(fma.f64 N N (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(fma.f64 N N (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) -1) |
(cbrt.f64 (fma.f64 N N (+.f64 1 N))) |
(cbrt.f64 (+.f64 1 (fma.f64 N N N))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) 1) |
(cbrt.f64 (fma.f64 N N (+.f64 1 N))) |
(cbrt.f64 (+.f64 1 (fma.f64 N N N))) |
(*.f64 1 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) |
(cbrt.f64 (fma.f64 N N (+.f64 1 N))) |
(cbrt.f64 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 1) |
(cbrt.f64 (fma.f64 N N (+.f64 1 N))) |
(cbrt.f64 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) |
(cbrt.f64 (fma.f64 N N (+.f64 1 N))) |
(cbrt.f64 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6)) |
(cbrt.f64 (fma.f64 N N (+.f64 1 N))) |
(cbrt.f64 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6))) |
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) |
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(*.f64 1 (fma.f64 N N (+.f64 N 1))) |
(fma.f64 N N (+.f64 1 N)) |
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(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) |
(fma.f64 N N (+.f64 1 N)) |
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(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) 3)) |
(fma.f64 N N (+.f64 1 N)) |
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(*.f64 (fma.f64 N N (+.f64 N 1)) 1) |
(fma.f64 N N (+.f64 1 N)) |
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(*.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) |
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) |
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(fma.f64 N N (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (fma.f64 N N (+.f64 N 1))) |
(fma.f64 N N (+.f64 1 N)) |
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(*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) 3/2) (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) 3/2)))) |
(*.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3)) |
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4)) (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4))) |
(*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3/4) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3/4) (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))))))) |
(*.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3/2)) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4)) (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) 3/2) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3/4) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3/4))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3/2)) |
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2)) (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2))) |
(*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) 3/2) (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) 3/2)))) |
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(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) 3/2) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3/4) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3/4))) |
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(*.f64 (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6))) (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)))) |
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(*.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) (pow.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) 4)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 3/4)) |
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) 3/2) |
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) 3/2) |
(pow.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) 3/2) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 3) 1/6)) |
(fma.f64 N N (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
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(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (*.f64 N N) 3)) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N))))) |
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(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (*.f64 N N) 3)) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N)) (pow.f64 N 4))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 1 (fma.f64 N N (neg.f64 N))) (pow.f64 N 4))) |
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(/.f64 (-.f64 1 (*.f64 (fma.f64 N N N) (fma.f64 N N N))) (-.f64 1 (fma.f64 N N N))) |
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(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 1 (fma.f64 N N (neg.f64 N)))) |
(/.f64 (-.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) 1) (-.f64 (+.f64 N (*.f64 N N)) 1)) |
(/.f64 (fma.f64 (*.f64 (+.f64 1 N) N) (*.f64 (+.f64 1 N) N) -1) (+.f64 (*.f64 (+.f64 1 N) N) -1)) |
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) -1) (+.f64 N (fma.f64 N N -1))) |
(/.f64 (+.f64 1 (fma.f64 N N N)) 1) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))) (*.f64 N N)) (+.f64 (*.f64 N N) (-.f64 1 N))) |
(/.f64 (fma.f64 (*.f64 (+.f64 1 N) N) (*.f64 (+.f64 1 N) N) -1) (+.f64 (*.f64 (+.f64 1 N) N) -1)) |
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) -1) (+.f64 N (fma.f64 N N -1))) |
(/.f64 (+.f64 1 (fma.f64 N N N)) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))) (fma.f64 N N (+.f64 1 N))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (+.f64 1 (fma.f64 N N N))))) (+.f64 1 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 N N N)))))) |
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 2)) |
(fma.f64 N N (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
(log.f64 (exp.f64 (fma.f64 N N (+.f64 N 1)))) |
(fma.f64 N N (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 N 1))))) |
(fma.f64 N N (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 3)) |
(fma.f64 N N (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
(expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) |
(fma.f64 N N (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
(exp.f64 (log.f64 (fma.f64 N N (+.f64 N 1)))) |
(fma.f64 N N (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
(log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 N 1)))) |
(fma.f64 N N (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
(fma.f64 N N (+.f64 N 1)) |
(fma.f64 N N (+.f64 1 N)) |
(+.f64 1 (fma.f64 N N N)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (atan2.f64 1 (*.f64 N N)) |
Compiled 11 to 5 computations (54.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (atan2.f64 1 (*.f64 N N)) |
| 0.0ms | N | @ | inf | (atan2.f64 1 (*.f64 N N)) |
| 0.0ms | N | @ | -inf | (atan2.f64 1 (*.f64 N N)) |
| 1× | batch-egg-rewrite |
| 930× | add-sqr-sqrt |
| 918× | *-un-lft-identity |
| 868× | pow1 |
| 846× | add-cube-cbrt |
| 838× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 111 | 13 |
| 2 | 1216 | 13 |
| 1× | node limit |
| Inputs |
|---|
(atan2.f64 1 (*.f64 N N)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N)))))))) |
| 1× | egg-herbie |
| 1150× | associate-/r* |
| 914× | *-commutative |
| 688× | associate-*r/ |
| 636× | associate-*r* |
| 484× | log-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 364 |
| 1 | 75 | 364 |
| 2 | 371 | 364 |
| 3 | 1705 | 364 |
| 4 | 3941 | 364 |
| 5 | 5860 | 364 |
| 1× | node limit |
| Inputs |
|---|
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (pow.f64 N 2)) |
(-.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1) |
(*.f64 1 (atan2.f64 1 (*.f64 N N))) |
(*.f64 (atan2.f64 1 (*.f64 N N)) 1) |
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) |
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3) |
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) |
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3)) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N)))) |
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N)))) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N)))) |
| Outputs |
|---|
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (pow.f64 N 2)) |
(atan2.f64 1 (*.f64 N N)) |
(-.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1) |
(atan2.f64 1 (*.f64 N N)) |
(*.f64 1 (atan2.f64 1 (*.f64 N N))) |
(atan2.f64 1 (*.f64 N N)) |
(*.f64 (atan2.f64 1 (*.f64 N N)) 1) |
(atan2.f64 1 (*.f64 N N)) |
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (*.f64 N N)) |
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2)) |
(atan2.f64 1 (*.f64 N N)) |
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (*.f64 N N)) |
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1) |
(atan2.f64 1 (*.f64 N N)) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2) |
(atan2.f64 1 (*.f64 N N)) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3) |
(atan2.f64 1 (*.f64 N N)) |
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3) |
(atan2.f64 1 (*.f64 N N)) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) |
(atan2.f64 1 (*.f64 N N)) |
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (*.f64 N N)) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3)) |
(atan2.f64 1 (*.f64 N N)) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (*.f64 N N)) |
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (*.f64 N N)) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (*.f64 N N)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))) | |
| ✓ | 0.5b | (atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))) |
| 15.5b | (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) | |
| 18.4b | (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))) |
Compiled 96 to 44 computations (54.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | -inf | (atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))) |
| 0.0ms | N | @ | 0 | (atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))) |
| 0.0ms | N | @ | inf | (atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))) |
| 1× | batch-egg-rewrite |
| 1706× | associate-/r/ |
| 676× | associate-+l+ |
| 424× | +-commutative |
| 342× | associate-+r+ |
| 336× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 61 |
| 1 | 317 | 21 |
| 2 | 4987 | 21 |
| 1× | node limit |
| Inputs |
|---|
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) |
| 1× | egg-herbie |
| 844× | distribute-lft-in |
| 778× | associate-*r* |
| 752× | distribute-rgt-in |
| 654× | fma-def |
| 596× | associate-*l* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 1142 |
| 1 | 117 | 1030 |
| 2 | 494 | 1030 |
| 3 | 2436 | 806 |
| 4 | 7150 | 806 |
| 1× | node limit |
| Inputs |
|---|
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))) |
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))) |
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))) |
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))) |
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1) |
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) |
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
| Outputs |
|---|
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))) |
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1)) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))) |
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1)) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))) |
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1)) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))) |
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1)) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))) |
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1)) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))) |
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1)) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))) |
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1)) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))) |
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1)) |
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))) |
(atan2.f64 1 (neg.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (+.f64 1 (+.f64 (*.f64 N N) (neg.f64 N)))))) |
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 (fma.f64 N N 1) N))) |
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (fma.f64 N N (-.f64 1 N)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (fma.f64 N N (-.f64 1 N)))) |
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))) |
(atan2.f64 1 (neg.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (+.f64 1 (+.f64 (*.f64 N N) (neg.f64 N)))))) |
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 (fma.f64 N N 1) N))) |
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (fma.f64 N N (-.f64 1 N)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (fma.f64 N N (-.f64 1 N)))) |
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))) |
(atan2.f64 1 (neg.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (+.f64 1 (+.f64 (*.f64 N N) (neg.f64 N)))))) |
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 (fma.f64 N N 1) N))) |
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (fma.f64 N N (-.f64 1 N)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (fma.f64 N N (-.f64 1 N)))) |
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))) |
(atan2.f64 1 (neg.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (+.f64 1 (+.f64 (*.f64 N N) (neg.f64 N)))))) |
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 (fma.f64 N N 1) N))) |
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (fma.f64 N N (-.f64 1 N)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (fma.f64 N N (-.f64 1 N)))) |
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
(atan2.f64 1 (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 N (*.f64 N N)) |
| ✓ | 0.5b | (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))) |
| ✓ | 15.5b | (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) |
| ✓ | 18.4b | (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))) |
Compiled 76 to 45 computations (40.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))) |
| 0.0ms | N | @ | -inf | (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))) |
| 0.0ms | N | @ | inf | (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))) |
| 0.0ms | N | @ | -inf | (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))) |
| 0.0ms | N | @ | inf | (-.f64 N (*.f64 N N)) |
| 1× | batch-egg-rewrite |
| 1242× | associate-/r/ |
| 898× | associate-/l/ |
| 430× | associate-+l+ |
| 356× | add-sqr-sqrt |
| 350× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 142 |
| 1 | 352 | 134 |
| 2 | 5053 | 134 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))) |
(-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))) |
(-.f64 N (*.f64 N N)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 1 (-.f64 N (fma.f64 N N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 (fma.f64 N N (-.f64 1 N)) (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))) (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (/.f64 1 (-.f64 N (fma.f64 N N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 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| 1× | egg-herbie |
| 1020× | associate-*r* |
| 916× | associate-*l* |
| 780× | associate-/l* |
| 730× | distribute-lft-in |
| 670× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 663 | 15916 |
| 1 | 2043 | 15090 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 N 1) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(pow.f64 N 2) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(pow.f64 N 2) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
1 |
(+.f64 1 (*.f64 2 N)) |
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (*.f64 2 N)))) |
(*.f64 -1 (pow.f64 N 4)) |
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4))) |
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 2 N))) |
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 2 N)))) |
(*.f64 -1 (pow.f64 N 4)) |
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4))) |
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 2 N))) |
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 2 N)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))) |
N |
(+.f64 N (*.f64 -1 (pow.f64 N 2))) |
(+.f64 N (*.f64 -1 (pow.f64 N 2))) |
(+.f64 N (*.f64 -1 (pow.f64 N 2))) |
(*.f64 -1 (pow.f64 N 2)) |
(+.f64 N (*.f64 -1 (pow.f64 N 2))) |
(+.f64 N (*.f64 -1 (pow.f64 N 2))) |
(+.f64 N (*.f64 -1 (pow.f64 N 2))) |
(*.f64 -1 (pow.f64 N 2)) |
(+.f64 N (*.f64 -1 (pow.f64 N 2))) |
(+.f64 N (*.f64 -1 (pow.f64 N 2))) |
(+.f64 N (*.f64 -1 (pow.f64 N 2))) |
(+.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 1) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 1 (-.f64 N (fma.f64 N N -1)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 (fma.f64 N N (-.f64 1 N)) (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))) (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 1) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (/.f64 1 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (/.f64 1 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N -1)))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (sqrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2))) (fma.f64 N N (-.f64 1 N))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3))) (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2))) (*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3))) (*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(*.f64 (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N -1))) (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (sqrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)))) (neg.f64 (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (neg.f64 (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 N (fma.f64 N N -1)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 N (fma.f64 N N -1)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (+.f64 N (+.f64 1 (*.f64 N N)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) 1)) (-.f64 (*.f64 N (-.f64 1 N)) 1)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (*.f64 N N))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) (-.f64 N (fma.f64 N N -1))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (neg.f64 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)))) (fma.f64 N N (-.f64 1 N))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (neg.f64 (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)))) (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 N 8)) (/.f64 1 (-.f64 N (fma.f64 N N -1)))) (-.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 N 8))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 N 8)) (/.f64 1 (-.f64 N (fma.f64 N N -1)))) (+.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 N 12))) (+.f64 (pow.f64 (+.f64 N 1) 4) (-.f64 (pow.f64 N 8) (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 N 12)) (/.f64 1 (-.f64 N (fma.f64 N N -1)))) (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 (+.f64 N 1) 4)) (*.f64 (+.f64 (pow.f64 N 8) (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (+.f64 (pow.f64 N 8) (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))))) (-.f64 (pow.f64 (+.f64 N 1) 4) (+.f64 (pow.f64 N 8) (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 N 12)) (/.f64 1 (-.f64 N (fma.f64 N N -1)))) (+.f64 (pow.f64 (pow.f64 (+.f64 N 1) 4) 3) (pow.f64 (+.f64 (pow.f64 N 8) (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 (+.f64 N 1) 4)) (-.f64 (*.f64 (+.f64 (pow.f64 N 8) (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (+.f64 (pow.f64 N 8) (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))) (*.f64 (pow.f64 (+.f64 N 1) 4) (+.f64 (pow.f64 N 8) (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)))) (sqrt.f64 (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)))) (cbrt.f64 (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (*.f64 (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4))) (*.f64 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)) (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)))) (*.f64 (fma.f64 N N (-.f64 1 N)) (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (*.f64 (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4))) (*.f64 (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)) (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))) (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (*.f64 (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4))) (*.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)))) (fma.f64 N N (-.f64 1 N))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (*.f64 (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4))) (*.f64 (-.f64 N (fma.f64 N N -1)) (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)))) (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (*.f64 (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4))) (*.f64 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)) (-.f64 N (fma.f64 N N -1)))) (fma.f64 N N (-.f64 1 N))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (*.f64 (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4))) (*.f64 (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)) (-.f64 N (fma.f64 N N -1)))) (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (*.f64 (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4))) (*.f64 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)) (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)))) (*.f64 (fma.f64 N N (-.f64 1 N)) (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (*.f64 (-.f64 N (fma.f64 N N -1)) (pow.f64 N 4))) (*.f64 (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)) (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)))) (*.f64 (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))) (fma.f64 N N (-.f64 1 N)))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 3) 1/3) |
(pow.f64 (/.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) -1) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 (neg.f64 N) (fma.f64 N N -1)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))) |
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(cbrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3)) |
(expm1.f64 (log1p.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))) |
(exp.f64 (log.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))) |
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 1)) |
(log1p.f64 (expm1.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))) |
(+.f64 N (*.f64 N (neg.f64 N))) |
(+.f64 N (*.f64 (*.f64 N (neg.f64 N)) 1)) |
(+.f64 N (+.f64 (*.f64 N (neg.f64 N)) (fma.f64 (neg.f64 N) N (*.f64 N N)))) |
(+.f64 N (+.f64 (*.f64 (*.f64 N (neg.f64 N)) 1) (fma.f64 (neg.f64 N) N (*.f64 N N)))) |
(+.f64 N (+.f64 (*.f64 N (neg.f64 N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)))) |
(+.f64 N (+.f64 (*.f64 (*.f64 N (neg.f64 N)) 1) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)))) |
(+.f64 N (+.f64 (*.f64 N (neg.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))) |
(+.f64 N (+.f64 (*.f64 (*.f64 N (neg.f64 N)) 1) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))) |
(+.f64 N (-.f64 (-.f64 0 (fma.f64 N N -1)) 1)) |
(+.f64 N (-.f64 (-.f64 1 (*.f64 N N)) 1)) |
(+.f64 1 (-.f64 (*.f64 N (-.f64 1 N)) 1)) |
(+.f64 (+.f64 N 1) (-.f64 (*.f64 N (neg.f64 N)) 1)) |
(+.f64 (*.f64 N (-.f64 1 N)) 0) |
(+.f64 (*.f64 N (-.f64 1 N)) (fma.f64 (neg.f64 N) N (*.f64 N N))) |
(+.f64 (*.f64 N (-.f64 1 N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N))) |
(+.f64 (*.f64 N (-.f64 1 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))) |
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) (fma.f64 (neg.f64 N) N (*.f64 N N)))) |
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) (fma.f64 (neg.f64 N) N (*.f64 N N)))) |
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (fma.f64 (neg.f64 N) N (*.f64 N N)))) |
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)))) |
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)))) |
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)))) |
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))) |
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))) |
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))) |
(+.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) 1)) |
(+.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) 1)) |
(+.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) 1)) |
(+.f64 (*.f64 N (neg.f64 N)) N) |
(+.f64 (*.f64 N (neg.f64 N)) (+.f64 N (fma.f64 (neg.f64 N) N (*.f64 N N)))) |
(+.f64 (*.f64 N (neg.f64 N)) (+.f64 N (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)))) |
(+.f64 (*.f64 N (neg.f64 N)) (+.f64 N (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))) |
(+.f64 (*.f64 (*.f64 N (neg.f64 N)) 1) N) |
(+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) (*.f64 N (-.f64 1 N))) |
(+.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) (*.f64 N (-.f64 1 N))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (*.f64 N (-.f64 1 N))) |
(+.f64 (-.f64 N (exp.f64 (log1p.f64 (*.f64 N N)))) 1) |
(*.f64 N (-.f64 1 N)) |
(*.f64 1 (*.f64 N (-.f64 1 N))) |
(*.f64 (*.f64 N (-.f64 1 N)) 1) |
(*.f64 (sqrt.f64 (*.f64 N (-.f64 1 N))) (sqrt.f64 (*.f64 N (-.f64 1 N)))) |
(*.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 2) (cbrt.f64 (*.f64 N (-.f64 1 N)))) |
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (+.f64 N (*.f64 N N)))) |
(*.f64 (-.f64 1 N) N) |
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))))) |
(*.f64 (+.f64 N (sqrt.f64 N)) (-.f64 (sqrt.f64 N) N)) |
(*.f64 (/.f64 1 (+.f64 N (*.f64 N N))) (-.f64 (*.f64 N N) (pow.f64 N 4))) |
(*.f64 (/.f64 1 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) (-.f64 (pow.f64 N 3) (pow.f64 N 6))) |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 (*.f64 N N) (pow.f64 N 4))) (*.f64 N (-.f64 1 N))) |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))) (-.f64 (*.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) 3))) (-.f64 (+.f64 (pow.f64 N 4) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) (*.f64 (*.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))) |
(/.f64 1 (/.f64 (+.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) |
(/.f64 1 (/.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (-.f64 (pow.f64 N 3) (pow.f64 N 6)))) |
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 N (*.f64 N N))) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) |
(/.f64 (-.f64 (*.f64 N N) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N)))) (-.f64 N (*.f64 N (neg.f64 N)))) |
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 8)) (*.f64 (+.f64 N (*.f64 N N)) (+.f64 (pow.f64 N 4) (*.f64 N N)))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (neg.f64 N)) 3)) (-.f64 (+.f64 (*.f64 N N) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N)))) (*.f64 N (*.f64 N (neg.f64 N))))) |
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (+.f64 N (*.f64 N N)) (+.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 8) (pow.f64 N 6))))) |
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (pow.f64 N 3)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 N 6) 3)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (pow.f64 N 3) (pow.f64 N 6))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (neg.f64 (+.f64 N (*.f64 N N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6))) (neg.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))))) |
(pow.f64 (*.f64 N (-.f64 1 N)) 1) |
(pow.f64 (sqrt.f64 (*.f64 N (-.f64 1 N))) 2) |
(pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 3) |
(pow.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2)) |
(log.f64 (exp.f64 (*.f64 N (-.f64 1 N)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (-.f64 1 N))))) |
(cbrt.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 N (-.f64 1 N)))) |
(exp.f64 (log.f64 (*.f64 N (-.f64 1 N)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 N (-.f64 1 N))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 N (-.f64 1 N)))) |
(fma.f64 1 N (*.f64 N (neg.f64 N))) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N (neg.f64 N))) |
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N (neg.f64 N))) |
| Outputs |
|---|
1 |
(+.f64 N 1) |
(+.f64 1 N) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (*.f64 N N))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (*.f64 N N))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(pow.f64 N 2) |
(*.f64 N N) |
(+.f64 N (pow.f64 N 2)) |
(*.f64 (+.f64 1 N) N) |
(+.f64 N (*.f64 N N)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (*.f64 N N))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (*.f64 N N))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(pow.f64 N 2) |
(*.f64 N N) |
(+.f64 N (pow.f64 N 2)) |
(*.f64 (+.f64 1 N) N) |
(+.f64 N (*.f64 N N)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (*.f64 N N))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (*.f64 N N))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
1 |
(+.f64 1 (*.f64 2 N)) |
(+.f64 1 (*.f64 N 2)) |
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N))) |
(+.f64 1 (+.f64 (*.f64 N 2) (*.f64 N N))) |
(+.f64 1 (*.f64 N (+.f64 2 N))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (*.f64 2 N)))) |
(+.f64 1 (+.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N 2))) |
(+.f64 (*.f64 N (+.f64 2 N)) (-.f64 1 (pow.f64 N 4))) |
(*.f64 -1 (pow.f64 N 4)) |
(neg.f64 (pow.f64 N 4)) |
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4))) |
(-.f64 (*.f64 N N) (pow.f64 N 4)) |
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 2 N))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N 2)) |
(fma.f64 -1 (pow.f64 N 4) (*.f64 N (+.f64 2 N))) |
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 2 N)))) |
(+.f64 1 (+.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N 2))) |
(+.f64 (*.f64 N (+.f64 2 N)) (-.f64 1 (pow.f64 N 4))) |
(*.f64 -1 (pow.f64 N 4)) |
(neg.f64 (pow.f64 N 4)) |
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4))) |
(-.f64 (*.f64 N N) (pow.f64 N 4)) |
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 2 N))) |
(+.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N 2)) |
(fma.f64 -1 (pow.f64 N 4) (*.f64 N (+.f64 2 N))) |
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 2 N)))) |
(+.f64 1 (+.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N 2))) |
(+.f64 (*.f64 N (+.f64 2 N)) (-.f64 1 (pow.f64 N 4))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 N (-.f64 1 (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
N |
(+.f64 N (*.f64 -1 (pow.f64 N 2))) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(+.f64 N (*.f64 -1 (pow.f64 N 2))) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(+.f64 N (*.f64 -1 (pow.f64 N 2))) |
(fma.f64 N (neg.f64 N) N) |
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(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 3)) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
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(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 1)) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
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(-.f64 (+.f64 1 (pow.f64 (+.f64 1 N) 2)) (exp.f64 (log1p.f64 (pow.f64 N 4)))) |
(*.f64 1 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) |
(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) |
(*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 1) |
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(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) |
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(-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) |
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(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (*.f64 N (-.f64 1 N))) |
(+.f64 N (fma.f64 N (neg.f64 N) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))) |
(fma.f64 N (-.f64 1 N) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))) |
(+.f64 (-.f64 N (exp.f64 (log1p.f64 (*.f64 N N)))) 1) |
(+.f64 1 (-.f64 N (exp.f64 (log1p.f64 (*.f64 N N))))) |
(-.f64 (+.f64 1 N) (exp.f64 (log1p.f64 (*.f64 N N)))) |
(*.f64 N (-.f64 1 N)) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 1 (*.f64 N (-.f64 1 N))) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(*.f64 (*.f64 N (-.f64 1 N)) 1) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(*.f64 (sqrt.f64 (*.f64 N (-.f64 1 N))) (sqrt.f64 (*.f64 N (-.f64 1 N)))) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(*.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 2)) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 2) (cbrt.f64 (*.f64 N (-.f64 1 N)))) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (+.f64 N (*.f64 N N)))) |
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (*.f64 (+.f64 1 N) N))) |
(*.f64 (-.f64 1 N) N) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 N 6))) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) |
(*.f64 (+.f64 N (sqrt.f64 N)) (-.f64 (sqrt.f64 N) N)) |
(*.f64 (/.f64 1 (+.f64 N (*.f64 N N))) (-.f64 (*.f64 N N) (pow.f64 N 4))) |
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (*.f64 (+.f64 1 N) N))) |
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (+.f64 N (*.f64 N N)))) |
(*.f64 (/.f64 1 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) (-.f64 (pow.f64 N 3) (pow.f64 N 6))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 N 6))) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 (*.f64 N N) (pow.f64 N 4))) (*.f64 N (-.f64 1 N))) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3)))) |
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))) (-.f64 (*.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) 3))) (-.f64 (+.f64 (pow.f64 N 4) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) (*.f64 (*.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) 3))) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (*.f64 (*.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) 3))) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (-.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (*.f64 N N))))) |
(/.f64 1 (/.f64 (+.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) |
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (*.f64 (+.f64 1 N) N))) |
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (+.f64 N (*.f64 N N)))) |
(/.f64 1 (/.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (-.f64 (pow.f64 N 3) (pow.f64 N 6)))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 N 6))) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) |
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 N (*.f64 N N))) |
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 (+.f64 1 N) N)) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) |
(/.f64 (-.f64 (*.f64 N N) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N)))) (-.f64 N (*.f64 N (neg.f64 N)))) |
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 (+.f64 1 N) N)) |
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 N (*.f64 N N))) |
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 8)) (*.f64 (+.f64 N (*.f64 N N)) (+.f64 (pow.f64 N 4) (*.f64 N N)))) |
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 8)) (*.f64 (*.f64 (+.f64 1 N) N) (+.f64 (pow.f64 N 4) (*.f64 N N)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 8)) (+.f64 N (*.f64 N N))) (+.f64 (pow.f64 N 4) (*.f64 N N))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (neg.f64 N)) 3)) (-.f64 (+.f64 (*.f64 N N) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N)))) (*.f64 N (*.f64 N (neg.f64 N))))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (neg.f64 N)) 3)) (-.f64 (fma.f64 N N (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) (neg.f64 N)))) (*.f64 N (*.f64 N (neg.f64 N))))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (neg.f64 N)) 3)) (+.f64 (fma.f64 N N (*.f64 1 (pow.f64 N 4))) (pow.f64 N 3))) |
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (+.f64 N (*.f64 N N)) (+.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 8) (pow.f64 N 6))))) |
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (*.f64 (+.f64 1 N) N) (+.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 8)) (pow.f64 N 6)))) |
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (+.f64 1 N) (*.f64 N (+.f64 (pow.f64 N 8) (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))) |
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (pow.f64 N 3)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 N 6) 3)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (pow.f64 N 3) (pow.f64 N 6))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 N 6) 3)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (+.f64 (pow.f64 N 12) (pow.f64 (pow.f64 N 3) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 N (pow.f64 N 8)) (pow.f64 (pow.f64 N 6) 3)) (+.f64 (pow.f64 N 6) (+.f64 (pow.f64 N 12) (*.f64 N (pow.f64 N 8))))) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (neg.f64 (+.f64 N (*.f64 N N)))) |
(neg.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (neg.f64 (*.f64 (+.f64 1 N) N)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (-.f64 (neg.f64 N) (*.f64 N N))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6))) (neg.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))))) |
(pow.f64 (*.f64 N (-.f64 1 N)) 1) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(pow.f64 (sqrt.f64 (*.f64 N (-.f64 1 N))) 2) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 3) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(pow.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 3) 1/3) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(sqrt.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2)) |
(log.f64 (exp.f64 (*.f64 N (-.f64 1 N)))) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (-.f64 1 N))))) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(cbrt.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 3)) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(expm1.f64 (log1p.f64 (*.f64 N (-.f64 1 N)))) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(exp.f64 (log.f64 (*.f64 N (-.f64 1 N)))) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(exp.f64 (*.f64 (log.f64 (*.f64 N (-.f64 1 N))) 1)) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(log1p.f64 (expm1.f64 (*.f64 N (-.f64 1 N)))) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(fma.f64 1 N (*.f64 N (neg.f64 N))) |
(fma.f64 N (neg.f64 N) N) |
(*.f64 N (-.f64 1 N)) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N (neg.f64 N))) |
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N (neg.f64 N))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.2b | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) |
| ✓ | 10.8b | (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) |
| ✓ | 14.9b | (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) |
| 15.5b | (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) |
Compiled 166 to 88 computations (47% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | N | @ | inf | (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) |
| 1.0ms | N | @ | -inf | (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) |
| 0.0ms | N | @ | 0 | (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) |
| 0.0ms | N | @ | 0 | (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) |
| 0.0ms | N | @ | inf | (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) |
| 1× | batch-egg-rewrite |
| 1630× | associate-/r/ |
| 460× | associate-+l+ |
| 420× | add-sqr-sqrt |
| 410× | *-un-lft-identity |
| 404× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 169 |
| 1 | 418 | 119 |
| 2 | 6160 | 119 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) |
| Outputs |
|---|
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(fma.f64 N N -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))))) |
| 1× | egg-herbie |
| 868× | times-frac |
| 636× | distribute-lft-neg-in |
| 630× | associate-*r* |
| 628× | associate-/l* |
| 616× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 8830 |
| 1 | 1162 | 8670 |
| 2 | 6220 | 8658 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/3 N) 1) |
(+.f64 (*.f64 1/3 N) (+.f64 1 (*.f64 -4/9 (pow.f64 N 2)))) |
(+.f64 (*.f64 1/3 N) (+.f64 1 (+.f64 (*.f64 -4/9 (pow.f64 N 2)) (*.f64 23/81 (pow.f64 N 3))))) |
1 |
(+.f64 1 (*.f64 4/3 N)) |
(+.f64 1 (+.f64 (*.f64 4/3 N) (*.f64 8/9 (pow.f64 N 2)))) |
(+.f64 1 (+.f64 (*.f64 4/3 N) (+.f64 (*.f64 14/81 (pow.f64 N 3)) (*.f64 8/9 (pow.f64 N 2))))) |
1 |
(+.f64 N 1) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(pow.f64 N 2) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(pow.f64 N 2) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) 1) |
(*.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) |
(*.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 1) |
(*.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6) (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) 1/3) (pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) 1/3)) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2))) (cbrt.f64 (fma.f64 N N (-.f64 1 N)))) |
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(pow.f64 (-.f64 N (fma.f64 N N -1)) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 1) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(fabs.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) |
(log.f64 (exp.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(exp.f64 (*.f64 1/3 (log1p.f64 (-.f64 N (*.f64 N N))))) |
(exp.f64 (*.f64 (log1p.f64 (-.f64 N (*.f64 N N))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (-.f64 N (*.f64 N N)))) 1)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(+.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (neg.f64 (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) |
(+.f64 (neg.f64 (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
(-.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) 1) |
(*.f64 1 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
(*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 1) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2))) |
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) (cbrt.f64 (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8))) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (+.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12))) (-.f64 (+.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)) (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (-.f64 (*.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 (+.f64 1 N) 4)) (*.f64 (*.f64 (pow.f64 N 4) (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (*.f64 (pow.f64 N 4) (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))))) (-.f64 (pow.f64 (+.f64 1 N) 4) (*.f64 (pow.f64 N 4) (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 6) (pow.f64 N 12)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 N) 4) 3) (pow.f64 (*.f64 (pow.f64 N 4) (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 (+.f64 1 N) 4)) (-.f64 (*.f64 (*.f64 (pow.f64 N 4) (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (*.f64 (pow.f64 N 4) (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) (*.f64 (pow.f64 (+.f64 1 N) 4) (*.f64 (pow.f64 N 4) (+.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 1) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) (cbrt.f64 (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 1) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(pow.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 3) 1/3) |
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) -1) |
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(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 3)) |
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(exp.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 1)) |
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(-.f64 (/.f64 (pow.f64 (+.f64 1 N) 2) (-.f64 N (fma.f64 N N -1))) (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) |
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(*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (/.f64 1 (-.f64 N (fma.f64 N N -1)))) |
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(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
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(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6))) |
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)) (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))) |
(*.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(*.f64 (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) |
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(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 1) (/.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)) (/.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2) (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6)) (/.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
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(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (+.f64 1 (+.f64 N (*.f64 N N)))) |
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(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
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(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 1) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) (cbrt.f64 (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 1) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1))) -1) |
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (neg.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/3 N) 1) |
(fma.f64 1/3 N 1) |
(+.f64 (*.f64 1/3 N) (+.f64 1 (*.f64 -4/9 (pow.f64 N 2)))) |
(+.f64 (fma.f64 1/3 N 1) (*.f64 -4/9 (*.f64 N N))) |
(fma.f64 1/3 N (fma.f64 -4/9 (*.f64 N N) 1)) |
(+.f64 (*.f64 1/3 N) (+.f64 1 (+.f64 (*.f64 -4/9 (pow.f64 N 2)) (*.f64 23/81 (pow.f64 N 3))))) |
(+.f64 (fma.f64 1/3 N 1) (fma.f64 -4/9 (*.f64 N N) (*.f64 23/81 (pow.f64 N 3)))) |
(+.f64 (fma.f64 1/3 N 1) (*.f64 (*.f64 N N) (+.f64 -4/9 (*.f64 N 23/81)))) |
1 |
(+.f64 1 (*.f64 4/3 N)) |
(+.f64 1 (*.f64 N 4/3)) |
(fma.f64 N 4/3 1) |
(+.f64 1 (+.f64 (*.f64 4/3 N) (*.f64 8/9 (pow.f64 N 2)))) |
(+.f64 1 (fma.f64 4/3 N (*.f64 (*.f64 N N) 8/9))) |
(+.f64 (fma.f64 N 4/3 1) (*.f64 N (*.f64 N 8/9))) |
(+.f64 1 (*.f64 N (+.f64 4/3 (*.f64 N 8/9)))) |
(+.f64 1 (+.f64 (*.f64 4/3 N) (+.f64 (*.f64 14/81 (pow.f64 N 3)) (*.f64 8/9 (pow.f64 N 2))))) |
(+.f64 1 (fma.f64 4/3 N (fma.f64 14/81 (pow.f64 N 3) (*.f64 (*.f64 N N) 8/9)))) |
(+.f64 (fma.f64 N 4/3 1) (fma.f64 (pow.f64 N 3) 14/81 (*.f64 N (*.f64 N 8/9)))) |
(+.f64 (fma.f64 N 4/3 1) (*.f64 (*.f64 N N) (+.f64 8/9 (*.f64 N 14/81)))) |
1 |
(+.f64 N 1) |
(+.f64 1 N) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 1 (fma.f64 N N N)) |
(pow.f64 N 2) |
(*.f64 N N) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (*.f64 N N)) |
(fma.f64 N N N) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 1 (fma.f64 N N N)) |
(pow.f64 N 2) |
(*.f64 N N) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (*.f64 N N)) |
(fma.f64 N N N) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 1 (fma.f64 N N N)) |
(+.f64 N (+.f64 1 (pow.f64 N 2))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 1 (fma.f64 N N N)) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) 1) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(*.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(*.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 1) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(*.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6) (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6)) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) 1/3) (pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2))) (cbrt.f64 (fma.f64 N N (-.f64 1 N)))) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2))) (cbrt.f64 (-.f64 (fma.f64 N N 1) N))) |
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (-.f64 (fma.f64 N N 1) N)))) |
(pow.f64 (-.f64 N (fma.f64 N N -1)) 1/3) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 1) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) 1/2) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(pow.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6) 2) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 3) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(fabs.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(log.f64 (exp.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(exp.f64 (*.f64 1/3 (log1p.f64 (-.f64 N (*.f64 N N))))) |
(pow.f64 (exp.f64 1/3) (log1p.f64 (-.f64 N (*.f64 N N)))) |
(cbrt.f64 (exp.f64 (log1p.f64 (-.f64 N (*.f64 N N))))) |
(exp.f64 (*.f64 (log1p.f64 (-.f64 N (*.f64 N N))) 1/3)) |
(pow.f64 (exp.f64 1/3) (log1p.f64 (-.f64 N (*.f64 N N)))) |
(cbrt.f64 (exp.f64 (log1p.f64 (-.f64 N (*.f64 N N))))) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (-.f64 N (*.f64 N N)))) 1)) |
(pow.f64 (exp.f64 1/3) (log1p.f64 (-.f64 N (*.f64 N N)))) |
(cbrt.f64 (exp.f64 (log1p.f64 (-.f64 N (*.f64 N N))))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(cbrt.f64 (-.f64 N (fma.f64 N N -1))) |
(+.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (neg.f64 (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(+.f64 (neg.f64 (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(-.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) 1) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 1 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 1) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2))) |
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(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))) 2) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (+.f64 1 (+.f64 N (*.f64 N N)))) |
(+.f64 1 (+.f64 N (*.f64 N N))) |
(+.f64 1 (fma.f64 N N N)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2))) (fma.f64 N N (-.f64 1 N))) |
(*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (/.f64 (fma.f64 N N (-.f64 1 N)) (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) |
(/.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N)))) |
(*.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3)))) |
(*.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (-.f64 (fma.f64 N N 1) N)) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) 1)) (-.f64 N (+.f64 1 (*.f64 N N)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (+.f64 1 (*.f64 N N)))) (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) -1)) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (/.f64 (+.f64 -1 (pow.f64 (-.f64 N (*.f64 N N)) 2)) (-.f64 N (fma.f64 N N 1)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6))) (+.f64 (pow.f64 (+.f64 1 N) 2) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (*.f64 N N))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6))) (+.f64 (pow.f64 (+.f64 1 N) 2) (+.f64 (pow.f64 N 4) (*.f64 (*.f64 N N) (+.f64 1 N))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6))) (+.f64 (pow.f64 (+.f64 1 N) 2) (fma.f64 (fma.f64 N N N) N (pow.f64 N 4)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6))) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (+.f64 1 (fma.f64 N N N))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (neg.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) (neg.f64 (fma.f64 N N (-.f64 1 N)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (+.f64 1 (*.f64 N N)))) (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) -1)) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (/.f64 (+.f64 -1 (pow.f64 (-.f64 N (*.f64 N N)) 2)) (-.f64 N (fma.f64 N N 1)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (neg.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3)))) (neg.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 -1 (neg.f64 (pow.f64 (-.f64 N (*.f64 N N)) 3)))) (neg.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 -1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (-.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N)) (pow.f64 (-.f64 N (*.f64 N N)) 2))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 -1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (-.f64 (-.f64 N (fma.f64 N N 1)) (pow.f64 (-.f64 N (*.f64 N N)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) (cbrt.f64 (fma.f64 N N (-.f64 1 N)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (fma.f64 N N (-.f64 1 N)))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N)))) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (-.f64 (fma.f64 N N 1) N))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) (-.f64 N (fma.f64 N N -1))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 1) (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)) (*.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4)))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (neg.f64 (-.f64 N (fma.f64 N N -1))))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) 1)) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 1) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) (cbrt.f64 (fma.f64 N N (-.f64 1 N)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (fma.f64 N N (-.f64 1 N)))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 1) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N))))) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N)))) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (-.f64 (fma.f64 N N 1) N))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 1) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 3) 1/3) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(pow.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1))) -1) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (neg.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 2)) |
(fabs.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) |
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 3)) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 1)) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) |
Compiled 53968 to 35959 computations (33.4% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1554 | 4 | 1558 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1556 | 13 | 1569 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.9b | (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) 3) |
| 29.3b | (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3) | |
| 21.6b | (atan2.f64 1 (/.f64 (/.f64 1 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))) (+.f64 1 (-.f64 N (*.f64 N N))))) | |
| ✓ | 21.6b | (atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))) |
| 50.0b | (atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (-.f64 (+.f64 N -1) (*.f64 N N)))) | |
| ✓ | 0.5b | (atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) |
| 28.9b | (atan2.f64 1 (+.f64 N (*.f64 N N))) | |
| 28.1b | (atan2.f64 1 (+.f64 N 1)) | |
| ✓ | 29.1b | (atan2.f64 1 (*.f64 N N)) |
| 28.8b | (atan2.f64 1 1) | |
| 2.2b | (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) | |
| 5.7b | (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))) | |
| 37.4b | (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)) |
Compiled 182 to 132 computations (27.5% saved)
| Inputs |
|---|
(atan2.f64 1 1) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (+.f64 N 1)) |
(atan2.f64 1 (+.f64 N (*.f64 N N))) |
(atan2.f64 (+.f64 1 (-.f64 N N)) 1) |
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) |
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N))) |
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))) |
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))) |
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N))) |
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (-.f64 (+.f64 N -1) (*.f64 N N)))) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3) |
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))) |
(atan2.f64 1 (/.f64 (/.f64 1 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))) (+.f64 1 (-.f64 N (*.f64 N N))))) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)) |
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) |
(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))) |
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) 3) |
(atan2.f64 1 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) |
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) |
| Outputs |
|---|
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) |
2 calls:
| 10.0ms | N |
| 3.0ms | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | N |
| 0.5b | 1 | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
Compiled 349 to 221 computations (36.7% saved)
| Inputs |
|---|
(atan2.f64 1 1) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (+.f64 N 1)) |
(atan2.f64 1 (+.f64 N (*.f64 N N))) |
(atan2.f64 (+.f64 1 (-.f64 N N)) 1) |
| Outputs |
|---|
(atan2.f64 1 (+.f64 N (*.f64 N N))) |
(atan2.f64 1 (+.f64 N 1)) |
(atan2.f64 1 (+.f64 N (*.f64 N N))) |
1 calls:
| 12.0ms | N |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 3 | N |
Compiled 30 to 20 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.4187748450478125e-5 | 1.0312845519961191 |
| 16.0ms | -3.126658084501613 | -0.03227947667184736 |
| 32.0ms | 240× | body | 256 | valid |
Compiled 252 to 189 computations (25% saved)
| Inputs |
|---|
(atan2.f64 1 1) |
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (+.f64 N 1)) |
| Outputs |
|---|
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 (+.f64 N 1)) |
(atan2.f64 1 (*.f64 N N)) |
1 calls:
| 11.0ms | N |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 3 | N |
Compiled 16 to 12 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.0312845519961191 | 140011209988346.88 |
| 16.0ms | -3.126658084501613 | -0.03227947667184736 |
| 34.0ms | 272× | body | 256 | valid |
Compiled 250 to 196 computations (21.6% saved)
Total -54.6b remaining (-3346.6%)
Threshold costs -54.6b (-3346.6%)
| Inputs |
|---|
(atan2.f64 1 1) |
(atan2.f64 1 (*.f64 N N)) |
| Outputs |
|---|
(atan2.f64 1 (*.f64 N N)) |
(atan2.f64 1 1) |
(atan2.f64 1 (*.f64 N N)) |
1 calls:
| 8.0ms | N |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 3 | N |
Compiled 11 to 8 computations (27.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.4187748450478125e-5 | 1.0312845519961191 |
| 18.0ms | -3.126658084501613 | -0.03227947667184736 |
| 34.0ms | 240× | body | 256 | valid |
Compiled 192 to 159 computations (17.2% saved)
| 1× | egg-herbie |
| 6× | +-commutative |
| 6× | if-if-or-not |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 185 |
| 1 | 44 | 185 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) |
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (*.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (*.f64 N N))))) |
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (*.f64 N N)))) |
(if (<=.f64 N -1) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (*.f64 N N)))) |
(atan2.f64 1 1) |
| Outputs |
|---|
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N))) |
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) |
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (*.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (*.f64 N N))))) |
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (+.f64 N (*.f64 N N))) (atan2.f64 1 (+.f64 1 N))) |
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (*.f64 N N)))) |
(if (or (<=.f64 N -5584463537939415/9007199254740992) (not (<=.f64 N 3602879701896397/2251799813685248))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 (+.f64 1 N))) |
(if (<=.f64 N -1) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (*.f64 N N)))) |
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 1)) |
(atan2.f64 1 1) |
Compiled 74 to 56 computations (24.3% saved)
Compiled 70 to 49 computations (30% saved)
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