Time bar (total: 2.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 100% | 0% | 0% | 1 |
Compiled 9 to 7 computations (22.2% saved)
| 979.0ms | 2204× | body | 2048 | valid |
| 477.0ms | 4196× | body | 128 | valid |
| 358.0ms | 1060× | body | 1024 | valid |
| 138.0ms | 546× | body | 512 | valid |
| 46.0ms | 250× | body | 256 | valid |
| 2× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 12 | 11 |
| 2 | 16 | 11 |
| 3 | 23 | 11 |
| 4 | 32 | 11 |
| 5 | 49 | 11 |
| 6 | 86 | 11 |
| 7 | 123 | 11 |
| 8 | 166 | 11 |
| 9 | 202 | 11 |
| 10 | 228 | 11 |
| 11 | 230 | 11 |
| 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 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 12 | 11 |
| 2 | 16 | 11 |
| 3 | 23 | 11 |
| 4 | 32 | 11 |
| 5 | 49 | 11 |
| 6 | 86 | 11 |
| 7 | 123 | 11 |
| 8 | 166 | 11 |
| 9 | 202 | 11 |
| 10 | 228 | 11 |
| 11 | 230 | 11 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
| Outputs |
|---|
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
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 |
|---|---|---|
| ▶ | 13.1b | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
Compiled 24 to 18 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (+.f64 N 1)) |
| ✓ | 0.8b | (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | N | @ | 0 | (-.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 | @ | inf | (-.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 |
| 828× | log1p-expm1-u_binary64 |
| 828× | expm1-log1p-u_binary64 |
| 84× | add-sqr-sqrt_binary64 |
| 82× | *-un-lft-identity_binary64 |
| 82× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 156 | 17 |
| 2 | 2202 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) |
(atan.f64 (+.f64 N 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (*.f64 N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1)))))))) |
| 1× | egg-herbie |
| 52× | fma-def_binary64 |
| 43× | fma-neg_binary64 |
| 23× | cancel-sign-sub-inv_binary64 |
| 18× | sub-neg_binary64 |
| 14× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 84 |
| 1 | 20 | 68 |
| 2 | 31 | 68 |
| 3 | 61 | 68 |
| 4 | 88 | 68 |
| 5 | 134 | 68 |
| 6 | 182 | 68 |
| 7 | 216 | 68 |
| 8 | 257 | 68 |
| 9 | 293 | 68 |
| 10 | 319 | 68 |
| 11 | 321 | 68 |
| 1× | saturated |
| 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))) |
| 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)) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 3 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 58 | 3 | 61 |
| Status | Error | Program |
|---|---|---|
| 28.1b | (-.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (atan.f64 N)) | |
| 29.1b | (-.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3) (atan.f64 N)) | |
| ▶ | 12.3b | (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (*.f64 N (+.f64 N 1)))) |
Compiled 902 to 606 computations (32.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 N (+.f64 N 1)) |
| ✓ | 0.0b | (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (*.f64 N (+.f64 N 1)))) |
| ✓ | 1.5b | (+.f64 N (-.f64 1 N)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | N | @ | -inf | (*.f64 N (+.f64 N 1)) |
| 1.0ms | N | @ | inf | (*.f64 N (+.f64 N 1)) |
| 0.0ms | N | @ | 0 | (*.f64 N (+.f64 N 1)) |
| 0.0ms | N | @ | inf | (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (*.f64 N (+.f64 N 1)))) |
| 0.0ms | N | @ | -inf | (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (*.f64 N (+.f64 N 1)))) |
| 1× | batch-egg-rewrite |
| 616× | fma-def_binary64 |
| 297× | fma-neg_binary64 |
| 180× | expm1-udef_binary64 |
| 180× | log1p-udef_binary64 |
| 146× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 1 | 210 | 29 |
| 2 | 3059 | 29 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 N (-.f64 1 N)) |
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (*.f64 N (+.f64 N 1)))) |
(*.f64 N (+.f64 N 1)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 N N) 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 N N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 N 3)) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 (*.f64 N N) (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N)) (-.f64 (*.f64 N N) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (-.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 N N -1) N) (+.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (-.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 N N N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 N) (exp.f64 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (exp.f64 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 N N)) (+.f64 1 (expm1.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 N N N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N N N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N 1 (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (fma.f64 N N N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 N N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (fma.f64 N N N)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 N N) 1 N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (-.f64 1 (fma.f64 N N N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 N) 2)) (pow.f64 (cbrt.f64 N) 2) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) N)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 N N N))))))) |
| 1× | egg-herbie |
| 968× | fma-neg_binary64 |
| 532× | unswap-sqr_binary64 |
| 334× | cancel-sign-sub-inv_binary64 |
| 329× | fma-def_binary64 |
| 192× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 240 |
| 1 | 44 | 198 |
| 2 | 67 | 198 |
| 3 | 163 | 198 |
| 4 | 578 | 198 |
| 5 | 1574 | 198 |
| 6 | 3510 | 198 |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 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 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
N |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (pow.f64 N 2)) |
(pow.f64 N 2) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (pow.f64 N 2)) |
(pow.f64 N 2) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (pow.f64 N 2)) |
| Outputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
(atan2.f64 1 (+.f64 1 (*.f64 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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
(atan2.f64 1 (+.f64 1 (*.f64 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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
(atan2.f64 1 (+.f64 1 (*.f64 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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
(atan2.f64 1 (+.f64 1 (*.f64 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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 1 (*.f64 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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 1 (*.f64 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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 1 (*.f64 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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2)))) |
(atan2.f64 1 (+.f64 1 (*.f64 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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 1 (*.f64 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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 1 (*.f64 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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 1 (*.f64 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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 1 (*.f64 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 N (fma.f64 N N 1))) |
N |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (*.f64 N N)) |
(fma.f64 N N N) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (*.f64 N N)) |
(fma.f64 N N N) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (*.f64 N N)) |
(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 (pow.f64 N 2)) |
(+.f64 N (*.f64 N N)) |
(fma.f64 N N N) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (*.f64 N N)) |
(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 (pow.f64 N 2)) |
(+.f64 N (*.f64 N N)) |
(fma.f64 N N N) |
(+.f64 N (pow.f64 N 2)) |
(+.f64 N (*.f64 N N)) |
(fma.f64 N N N) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 170 | 1 | 171 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 173 | 1 | 174 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
Compiled 3399 to 2187 computations (35.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 N (+.f64 N 1)) | |
| ✓ | 0.3b | (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
| 0.0ms | N | @ | -inf | (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
| 0.0ms | N | @ | inf | (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
| 1× | batch-egg-rewrite |
| 798× | pow1_binary64 |
| 742× | log1p-expm1-u_binary64 |
| 742× | expm1-log1p-u_binary64 |
| 78× | add-sqr-sqrt_binary64 |
| 76× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 152 | 11 |
| 2 | 2044 | 11 |
| 1× | node limit |
| Inputs |
|---|
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) |
| 1× | egg-herbie |
| 968× | fma-neg_binary64 |
| 532× | unswap-sqr_binary64 |
| 331× | cancel-sign-sub-inv_binary64 |
| 308× | fma-def_binary64 |
| 199× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 104 |
| 1 | 33 | 88 |
| 2 | 54 | 88 |
| 3 | 151 | 88 |
| 4 | 570 | 88 |
| 5 | 1588 | 88 |
| 6 | 3503 | 88 |
| 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 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 N -1))) |
(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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 N -1))) |
(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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 N -1))) |
(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 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 N -1))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 N -1))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 N -1))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 N -1))) |
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) |
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N)))) |
(atan2.f64 1 (+.f64 N (fma.f64 N N 1))) |
(atan2.f64 1 (+.f64 1 (fma.f64 N N N))) |
(atan2.f64 1 (fma.f64 N N (-.f64 N -1))) |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 3 | 73 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 4 | 74 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (atan2.f64 1 (+.f64 1 (fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) N))) |
| ✓ | 0.3b | (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
| 1.6b | (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3) | |
| 0.9b | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) |
Compiled 1046 to 654 computations (37.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 N (pow.f64 (cbrt.f64 N) 2)) |
| ✓ | 0.3b | (atan2.f64 1 (+.f64 1 (fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) N))) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 N) 2) |
| ✓ | 0.6b | (cbrt.f64 N) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | N | @ | -inf | (pow.f64 (cbrt.f64 N) 2) |
| 1.0ms | N | @ | 0 | (cbrt.f64 N) |
| 1.0ms | N | @ | -inf | (cbrt.f64 N) |
| 1.0ms | N | @ | inf | (atan2.f64 1 (+.f64 1 (fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) N))) |
| 1.0ms | N | @ | 0 | (pow.f64 (cbrt.f64 N) 2) |
| 1× | batch-egg-rewrite |
| 826× | log1p-expm1-u_binary64 |
| 826× | expm1-log1p-u_binary64 |
| 98× | add-sqr-sqrt_binary64 |
| 94× | pow1_binary64 |
| 93× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 39 |
| 1 | 204 | 31 |
| 2 | 2373 | 31 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 N) |
(pow.f64 (cbrt.f64 N) 2) |
(atan2.f64 1 (+.f64 1 (fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) N))) |
(*.f64 N (pow.f64 (cbrt.f64 N) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N 1/6) (pow.f64 N 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 N (cbrt.f64 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 N) 1/3) (pow.f64 (sqrt.f64 N) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 N 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 N) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 N) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 N))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 N) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 N) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (*.f64 N (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 N) (pow.f64 N 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N 1/6) (*.f64 (pow.f64 N 1/6) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 N (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 N) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 N) (sqrt.f64 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 N (cbrt.f64 N)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 N) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 N 3) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 N N) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)))))))) |
| 1× | egg-herbie |
| 500× | distribute-rgt-neg-in_binary64 |
| 489× | unswap-sqr_binary64 |
| 484× | fma-def_binary64 |
| 445× | distribute-lft-neg-in_binary64 |
| 370× | cancel-sign-sub-inv_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 300 |
| 1 | 63 | 292 |
| 2 | 150 | 292 |
| 3 | 581 | 244 |
| 4 | 1353 | 232 |
| 5 | 2935 | 232 |
| 1× | node limit |
| Inputs |
|---|
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 (fma.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (pow.f64 N 5) -1) 1/3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (*.f64 N -1) 1/3) (cbrt.f64 -1)) N) 1)) |
(atan2.f64 1 (+.f64 (fma.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (pow.f64 N 5) -1) 1/3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (*.f64 N -1) 1/3) (cbrt.f64 -1)) N) 1)) |
(atan2.f64 1 (+.f64 (fma.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (pow.f64 N 5) -1) 1/3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (*.f64 N -1) 1/3) (cbrt.f64 -1)) N) 1)) |
(atan2.f64 1 (+.f64 (fma.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (pow.f64 N 5) -1) 1/3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (*.f64 N -1) 1/3) (cbrt.f64 -1)) N) 1)) |
| Outputs |
|---|
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) N))) |
(atan2.f64 1 (+.f64 (fma.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (pow.f64 N 5) -1) 1/3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (*.f64 N -1) 1/3) (cbrt.f64 -1)) N) 1)) |
(atan2.f64 1 (+.f64 1 (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 N 5) -1)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 N -1))) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (neg.f64 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N))) N))) |
(atan2.f64 1 (+.f64 1 (-.f64 N (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N)))))))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (neg.f64 N)) (*.f64 1 (cbrt.f64 (neg.f64 (pow.f64 N 5)))) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (cbrt.f64 (neg.f64 N)) N))) |
(atan2.f64 1 (+.f64 (fma.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (pow.f64 N 5) -1) 1/3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (*.f64 N -1) 1/3) (cbrt.f64 -1)) N) 1)) |
(atan2.f64 1 (+.f64 1 (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 N 5) -1)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 N -1))) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (neg.f64 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N))) N))) |
(atan2.f64 1 (+.f64 1 (-.f64 N (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N)))))))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (neg.f64 N)) (*.f64 1 (cbrt.f64 (neg.f64 (pow.f64 N 5)))) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (cbrt.f64 (neg.f64 N)) N))) |
(atan2.f64 1 (+.f64 (fma.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (pow.f64 N 5) -1) 1/3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (*.f64 N -1) 1/3) (cbrt.f64 -1)) N) 1)) |
(atan2.f64 1 (+.f64 1 (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 N 5) -1)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 N -1))) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (neg.f64 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N))) N))) |
(atan2.f64 1 (+.f64 1 (-.f64 N (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N)))))))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (neg.f64 N)) (*.f64 1 (cbrt.f64 (neg.f64 (pow.f64 N 5)))) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (cbrt.f64 (neg.f64 N)) N))) |
(atan2.f64 1 (+.f64 (fma.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (pow.f64 N 5) -1) 1/3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (*.f64 N -1) 1/3) (cbrt.f64 -1)) N) 1)) |
(atan2.f64 1 (+.f64 1 (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 N 5) -1)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 N -1))) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (neg.f64 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N))) N))) |
(atan2.f64 1 (+.f64 1 (-.f64 N (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N)))))))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (neg.f64 N)) (*.f64 1 (cbrt.f64 (neg.f64 (pow.f64 N 5)))) N))) |
(atan2.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (cbrt.f64 (neg.f64 N)) N))) |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 100 | 1 | 101 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 100 | 5 | 105 |
| Status | Error | Program |
|---|---|---|
| 0.6b | (atan2.f64 1 (+.f64 1 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 3) (cbrt.f64 N) N))) | |
| ✓ | 0.5b | (atan2.f64 1 (+.f64 1 (fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) N))) |
| ✓ | 0.3b | (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) |
| 1.6b | (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3) | |
| 0.9b | (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) |
Compiled 1767 to 1075 computations (39.2% saved)
Total -45.5b remaining (-13438.8%)
Threshold costs -45.5b (-13438.8%)
Compiled 454 to 298 computations (34.4% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 11 | 11 |
| 2 | 12 | 11 |
| 1× | saturated |
| Inputs |
|---|
(atan2.f64 1 (fma.f64 N N (-.f64 N -1))) |
| Outputs |
|---|
(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 N))) |
| 1× | fuel |
Compiled 18 to 12 computations (33.3% saved)
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