Time bar (total: 18.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 1.6% | 1.6% | 98.2% | 0.2% | 0% | 0% | 0% | 9 |
| 2.3% | 2.3% | 97.5% | 0.2% | 0% | 0% | 0% | 10 |
| 11.7% | 11.7% | 88.1% | 0.2% | 0% | 0% | 0% | 11 |
| 13.1% | 12.3% | 81.3% | 0.2% | 0% | 6.2% | 0% | 12 |
Compiled 18 to 13 computations (27.8% saved)
| 1.9s | 1516× | body | 8192 | exit |
| 1.5s | 1912× | body | 1024 | valid |
| 970.0ms | 4656× | body | 256 | valid |
| 565.0ms | 1389× | body | 512 | valid |
| 367.0ms | 299× | body | 2048 | valid |
| 282.0ms | 241× | body | 512 | invalid |
| 270.0ms | 2011× | body | 256 | invalid |
| 109.0ms | 179× | body | 1024 | invalid |
| 3.0ms | 23× | body | 256 | infinite |
| 0.0ms | 2× | body | 512 | infinite |
| 2× | egg-herbie |
| 1100× | associate-+l- |
| 844× | associate-*r/ |
| 804× | associate--l+ |
| 798× | associate-+r- |
| 786× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 273 |
| 1 | 96 | 245 |
| 2 | 238 | 231 |
| 3 | 502 | 231 |
| 4 | 1084 | 189 |
| 5 | 2906 | 189 |
| 6 | 5231 | 189 |
| 7 | 6653 | 189 |
| 0 | 4 | 4 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
3 |
| Outputs |
|---|
0 |
1 |
2 |
3 |
| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t)) |
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t)) |
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t)) |
(-.f64 y (/.f64 (log.f64 (fma.f64 x (exp.f64 z) (-.f64 1 x))) t)) |
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 -1 (exp.f64 z)))) t)) |
(-.f64 y (/.f64 (log1p.f64 (-.f64 (*.f64 x (exp.f64 z)) x)) t)) |
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (expm1.f64 z))) t)) |
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t)) |
(-.f64 z (/.f64 (log.f64 (fma.f64 y (exp.f64 x) (-.f64 1 y))) t)) |
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 x)))) t)) |
(-.f64 z (/.f64 (log1p.f64 (fma.f64 y (exp.f64 x) (neg.f64 y))) t)) |
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) t)) |
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x)) |
(-.f64 t (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) x)) |
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) x)) |
(-.f64 t (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) x)) |
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t)) |
(-.f64 x (/.f64 (log.f64 (fma.f64 z (exp.f64 y) (-.f64 1 z))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 -1 (exp.f64 y)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 z (exp.f64 y)) z)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (expm1.f64 y))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 (exp.f64 z) t))) y)) |
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) t (-.f64 1 t))) y)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 -1 (exp.f64 z)))) y)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) t) t)) y)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (expm1.f64 z))) y)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z)) |
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 t) (-.f64 1 y))) z)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 t)))) z)) |
(-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 t) (neg.f64 y))) z)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z)) |
Compiled 21 to 16 computations (23.8% saved)
| 1× | egg-herbie |
| 924× | fma-def |
| 920× | *-commutative |
| 798× | associate--r+ |
| 782× | associate-/l* |
| 728× | associate-+l- |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 39 |
| 1 | 25 | 35 |
| 2 | 51 | 33 |
| 3 | 98 | 33 |
| 4 | 205 | 27 |
| 5 | 506 | 27 |
| 6 | 1005 | 27 |
| 7 | 1240 | 27 |
| 8 | 1353 | 27 |
| 9 | 1632 | 27 |
| 10 | 2449 | 27 |
| 11 | 4905 | 27 |
| 12 | 5557 | 27 |
| 13 | 6096 | 27 |
| 14 | 6879 | 27 |
| 15 | 7662 | 27 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 z)) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
Compiled 60 to 33 computations (45% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 1 | 5 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 1 | 6 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
Compiled 13 to 9 computations (30.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (*.f64 y (expm1.f64 z))) |
| ✓ | 0.0b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| ✓ | 4.1b | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
Compiled 35 to 9 computations (74.3% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | z | @ | -inf | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 37.0ms | z | @ | inf | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 12.0ms | t | @ | 0 | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 10.0ms | t | @ | inf | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 2.0ms | x | @ | 0 | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 1× | batch-egg-rewrite |
| 1346× | associate-*r/ |
| 944× | associate-*l/ |
| 816× | associate-/r* |
| 628× | associate-/l* |
| 544× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 63 |
| 1 | 248 | 63 |
| 2 | 3271 | 63 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (fma.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (fma.f64 (neg.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))))) |
| 1× | egg-herbie |
| 1010× | associate-*r* |
| 920× | fma-def |
| 814× | associate-*l* |
| 622× | associate-/l* |
| 580× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 584 | 15763 |
| 1 | 1669 | 15017 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) |
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(/.f64 (*.f64 y z) t) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t))))) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
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(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) |
(*.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))) |
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))) t)) |
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))) |
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))) t))) |
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))) t)))) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y))))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t) |
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z))) (/.f64 (/.f64 1/2 (*.f64 t (*.f64 y y))) (pow.f64 (expm1.f64 z) 2)))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (/.f64 1/3 (*.f64 t (pow.f64 y 3))) (pow.f64 (expm1.f64 z) 3)))) (-.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (/.f64 1/2 (*.f64 t (*.f64 y y))) (pow.f64 (expm1.f64 z) 2)))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t) |
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) |
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (log.f64 (/.f64 -1 y)) t))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (+.f64 (/.f64 (/.f64 1/3 (*.f64 t (pow.f64 y 3))) (pow.f64 (expm1.f64 z) 3)) (-.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))) |
(/.f64 (*.f64 y z) t) |
(/.f64 y (/.f64 t z)) |
(*.f64 (/.f64 y t) z) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t)) |
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (/.f64 y (/.f64 t z))) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (*.f64 (/.f64 y t) z)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t))) |
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z)))) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) t) (pow.f64 z 3)) (*.f64 (/.f64 y t) z))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t))))) |
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (+.f64 (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z))) (*.f64 1/24 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 (pow.f64 y 4) -6))))) (/.f64 t (pow.f64 z 4)))))) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) t) (pow.f64 z 3)) (fma.f64 1/24 (/.f64 (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 (pow.f64 y 4) -6))) (fma.f64 (*.f64 y y) -3 y)) (/.f64 t (pow.f64 z 4))) (*.f64 (/.f64 y t) z)))) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
x |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)) |
(fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) 1/2 (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x)) |
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(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (fma.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3)) (pow.f64 x 6))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) |
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)) |
(fabs.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) |
(fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
Compiled 11330 to 3851 computations (66% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 343 | 19 | 362 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 343 | 20 | 363 |
| Status | Error | Program |
|---|---|---|
| 33.3b | (pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) | |
| ▶ | 44.6b | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 0.4b | (-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) | |
| 20.6b | (-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) | |
| 25.7b | (-.f64 x (/.f64 (fma.f64 (*.f64 1/2 (*.f64 z z)) (-.f64 y (*.f64 y y)) (*.f64 z y)) t)) | |
| 21.1b | (-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t)) | |
| 15.2b | (-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) | |
| ▶ | 8.5b | (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
| 16.9b | (-.f64 x (/.f64 (*.f64 z y) t)) | |
| ✓ | 0.3b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 0.4b | (-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) | |
| 10.0b | (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) | |
| 21.7b | (-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) | |
| 17.2b | (-.f64 x (/.f64 y (/.f64 t z))) | |
| 21.3b | (-.f64 x (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))) | |
| ▶ | 17.4b | (-.f64 x (*.f64 (/.f64 y t) z)) |
| ▶ | 0.4b | (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| ▶ | 10.9b | (-.f64 x (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
| 15.2b | (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) | |
| 18.9b | x |
Compiled 562 to 387 computations (31.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| 0.0b | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| ✓ | 4.2b | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
Compiled 43 to 17 computations (60.5% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 0.0ms | y | @ | inf | (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1× | batch-egg-rewrite |
| 1276× | associate-*r/ |
| 890× | associate-*l/ |
| 600× | distribute-rgt-in |
| 556× | associate-/r* |
| 552× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 48 |
| 1 | 285 | 48 |
| 2 | 3597 | 48 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| Outputs |
|---|
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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))))) |
| 1× | egg-herbie |
| 1068× | associate-/l* |
| 702× | associate-*r* |
| 602× | associate-/l/ |
| 586× | times-frac |
| 552× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 710 | 20448 |
| 1 | 1938 | 19128 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) |
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(/.f64 (*.f64 y z) t) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t))))) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
x |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x))) |
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) |
(-.f64 x (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))) |
(-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t))) |
(-.f64 x (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) x) (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) x))) |
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1) |
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 (neg.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) |
(/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) |
(/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 -1 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
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(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3) |
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) |
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) |
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(fma.f64 1 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
| Outputs |
|---|
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))) |
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))) |
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))) t)) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))) |
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))) |
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))) t))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))) t)))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t) |
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) |
(+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (log.f64 y) t))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (-.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t) |
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) |
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))) |
(/.f64 (*.f64 y z) t) |
(/.f64 y (/.f64 t z)) |
(*.f64 (/.f64 y t) z) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t)) |
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (/.f64 y (/.f64 t z))) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (*.f64 (/.f64 y t) z)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t))) |
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z)))) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (*.f64 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) t) (pow.f64 z 3)) (*.f64 (/.f64 y t) z))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t))))) |
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (+.f64 (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z))) (*.f64 1/24 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 (pow.f64 y 4) -6))))) (/.f64 t (pow.f64 z 4)))))) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (*.f64 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) t) (pow.f64 z 3)) (*.f64 (/.f64 y t) z))) (/.f64 (*.f64 (*.f64 1/24 (pow.f64 z 4)) (+.f64 y (fma.f64 -3 (*.f64 y y) (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 (pow.f64 y 4) -6)))))) t)) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) x) |
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) (*.f64 (sqrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (sqrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) (*.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))))) |
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)) |
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 1 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 (/.f64 y t) z)) |
| ✓ | 5.3b | (*.f64 (/.f64 y t) z) |
Compiled 23 to 7 computations (69.6% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 y t) z) |
| 0.0ms | t | @ | inf | (*.f64 (/.f64 y t) z) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 y t) z) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 y t) z) |
| 0.0ms | t | @ | 0 | (*.f64 (/.f64 y t) z) |
| 1× | batch-egg-rewrite |
| 1532× | associate-*r/ |
| 1058× | *-commutative |
| 1010× | associate-/r* |
| 980× | associate-*l/ |
| 764× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 199 | 32 |
| 2 | 2832 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y t) z) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1340× | associate-/l* |
| 692× | associate-*r* |
| 656× | times-frac |
| 590× | associate-*l* |
| 588× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 616 | 13133 |
| 1 | 1691 | 12177 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1) |
(/.f64 y (/.f64 t z)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y (/.f64 z t)) 1) |
(/.f64 1 (/.f64 t (*.f64 y z))) |
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 t y) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 t z) (sqrt.f64 y))) |
(/.f64 (sqrt.f64 y) (/.f64 t (*.f64 z (sqrt.f64 y)))) |
(/.f64 (cbrt.f64 z) (/.f64 (/.f64 t y) (pow.f64 (cbrt.f64 z) 2))) |
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 t y) (cbrt.f64 z))) |
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 t z) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 t z) (cbrt.f64 y))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 t (*.f64 z (cbrt.f64 y)))) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) (/.f64 t 1)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 t) z)) |
(/.f64 (sqrt.f64 (*.f64 y z)) (/.f64 t (sqrt.f64 (*.f64 y z)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (/.f64 t (cbrt.f64 (*.f64 y z)))) |
(/.f64 (*.f64 y (sqrt.f64 z)) (/.f64 t (sqrt.f64 z))) |
(/.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 t (cbrt.f64 z))) |
(/.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) (sqrt.f64 (/.f64 t y))) |
(/.f64 (*.f64 z (sqrt.f64 y)) (/.f64 t (sqrt.f64 y))) |
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 t)) |
(/.f64 (/.f64 y (/.f64 1 z)) t) |
(/.f64 (/.f64 z (/.f64 (sqrt.f64 t) y)) (sqrt.f64 t)) |
(/.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 t) 2) z)) (cbrt.f64 t)) |
(/.f64 (neg.f64 (*.f64 y z)) (neg.f64 t)) |
(/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 t (*.f64 (sqrt.f64 z) (sqrt.f64 y)))) |
(/.f64 (/.f64 z t) (/.f64 1 y)) |
(/.f64 (/.f64 z (sqrt.f64 t)) (/.f64 (sqrt.f64 t) y)) |
(/.f64 (*.f64 z -1) (neg.f64 (/.f64 t y))) |
(/.f64 (*.f64 z (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 y z))) (neg.f64 t)) |
(/.f64 (*.f64 -1 z) (neg.f64 (/.f64 t y))) |
(/.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 t (cbrt.f64 y))) |
(/.f64 (*.f64 z (/.f64 y 1)) t) |
(/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (*.f64 z (/.f64 y (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t)) |
(/.f64 (*.f64 1 (*.f64 z (neg.f64 y))) (neg.f64 t)) |
(/.f64 (*.f64 1 (/.f64 y (/.f64 1 z))) t) |
(/.f64 (*.f64 1 (/.f64 z (/.f64 (sqrt.f64 t) y))) (sqrt.f64 t)) |
(/.f64 (*.f64 1 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 t) 2) z))) (cbrt.f64 t)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y z))) (sqrt.f64 t)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y z))) (cbrt.f64 t)) |
(/.f64 (*.f64 (*.f64 y z) (/.f64 1 (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (*.f64 (*.f64 y z) (/.f64 1 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t)) |
(/.f64 (*.f64 (*.f64 y z) -1) (neg.f64 t)) |
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) 1) (sqrt.f64 (/.f64 t y))) |
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) (sqrt.f64 y)) (sqrt.f64 t)) |
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 y t))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 t))) |
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 y t)) 2)) 1) (cbrt.f64 (/.f64 t y))) |
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 y t)) 2)) (cbrt.f64 y)) (cbrt.f64 t)) |
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 y t)) 2)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 t))) |
(/.f64 (*.f64 (/.f64 y 1) z) t) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 t)) z) (sqrt.f64 t)) |
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) z) (cbrt.f64 t)) |
(/.f64 (*.f64 (neg.f64 (*.f64 y z)) 1) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 y)) z) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 t (cbrt.f64 y))) |
(/.f64 (*.f64 (*.f64 z (neg.f64 y)) 1) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 y (/.f64 1 z)) 1) t) |
(/.f64 (*.f64 (/.f64 z (/.f64 (sqrt.f64 t) y)) 1) (sqrt.f64 t)) |
(/.f64 (*.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 t) 2) z)) 1) (cbrt.f64 t)) |
(/.f64 (*.f64 1 (*.f64 z (sqrt.f64 (/.f64 y t)))) (sqrt.f64 (/.f64 t y))) |
(/.f64 (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 (/.f64 y t)))) (sqrt.f64 t)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 y)) (*.f64 z (sqrt.f64 (/.f64 y t)))) (sqrt.f64 (neg.f64 t))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y (/.f64 z t)))) (sqrt.f64 t)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2)) (cbrt.f64 t)) |
(/.f64 (*.f64 y (/.f64 z (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (*.f64 y (/.f64 z (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (/.f64 z 1) (/.f64 t y)) |
(/.f64 (/.f64 (*.f64 y z) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (/.f64 (neg.f64 (*.f64 y z)) 1) (neg.f64 t)) |
(/.f64 (/.f64 (neg.f64 (*.f64 y z)) (sqrt.f64 t)) (neg.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (neg.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 t) 2)) (neg.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 z (*.f64 (cbrt.f64 (/.f64 t y)) (cbrt.f64 (/.f64 t y)))) (cbrt.f64 (/.f64 t y))) |
(/.f64 (/.f64 z (/.f64 1 (sqrt.f64 y))) (/.f64 t (sqrt.f64 y))) |
(/.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (/.f64 t (cbrt.f64 y))) |
(/.f64 (/.f64 z (/.f64 (sqrt.f64 t) (sqrt.f64 y))) (/.f64 (sqrt.f64 t) (sqrt.f64 y))) |
(/.f64 (/.f64 z (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 y) 2))) (/.f64 (sqrt.f64 t) (cbrt.f64 y))) |
(/.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 t) 2) 1)) (/.f64 (cbrt.f64 t) y)) |
(/.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 y))) (/.f64 (cbrt.f64 t) (sqrt.f64 y))) |
(/.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 y) 2))) (/.f64 (cbrt.f64 t) (cbrt.f64 y))) |
(/.f64 (/.f64 (*.f64 z (neg.f64 y)) 1) (neg.f64 t)) |
(/.f64 (/.f64 (*.f64 z (neg.f64 y)) (sqrt.f64 t)) (neg.f64 (sqrt.f64 t))) |
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(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (/.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (*.f64 (/.f64 y t) (neg.f64 z)))) (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (*.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (+.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (*.f64 (/.f64 y t) (neg.f64 z))) (*.f64 x (*.f64 (/.f64 y t) (neg.f64 z)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 3)) (*.f64 (+.f64 (*.f64 y (/.f64 z t)) x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (neg.f64 (+.f64 (*.f64 y (/.f64 z t)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (*.f64 (/.f64 y t) (neg.f64 z))))) (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) (neg.f64 z)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (*.f64 (/.f64 y t) (neg.f64 z))) (*.f64 x (*.f64 (/.f64 y t) (neg.f64 z)))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (neg.f64 (+.f64 (*.f64 y (/.f64 z t)) x))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (sqrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)))) (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (*.f64 (/.f64 y t) (neg.f64 z)))) 1) (-.f64 x (*.f64 (/.f64 y t) (neg.f64 z)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) (neg.f64 z)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (*.f64 (/.f64 y t) (neg.f64 z))) (*.f64 x (*.f64 (/.f64 y t) (neg.f64 z)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) 1) (neg.f64 (+.f64 (*.f64 y (/.f64 z t)) x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t))))) (sqrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2)) (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (pow.f64 (*.f64 y (/.f64 z t)) 2))) (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) 3)) (/.f64 1 (+.f64 (*.f64 y (/.f64 z t)) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) 1) (+.f64 (*.f64 y (/.f64 z t)) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (sqrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x))) (sqrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)) (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x)))) (cbrt.f64 (+.f64 (*.f64 y (/.f64 z t)) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) |
(pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 3) |
(pow.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 2)) |
(log.f64 (exp.f64 (-.f64 x (*.f64 y (/.f64 z t))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t)))))) |
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y (/.f64 z t))))) |
(exp.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t))))) |
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t))))) |
(fma.f64 1 x (*.f64 (/.f64 y t) (neg.f64 z))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 z))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 z))) |
| Outputs |
|---|
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 z (/.f64 (neg.f64 y) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 z (/.f64 (neg.f64 y) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 z (/.f64 (neg.f64 y) t)) |
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 z t)) 2)) (*.f64 (cbrt.f64 (fma.f64 y (/.f64 z t) x)) (*.f64 (cbrt.f64 (fma.f64 y (/.f64 z t) x)) (cbrt.f64 (fma.f64 y (/.f64 z t) x))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (/.f64 t y)) 2)) (cbrt.f64 (fma.f64 y (/.f64 z t) x))) (cbrt.f64 (fma.f64 y (/.f64 z t) x))) (cbrt.f64 (fma.f64 y (/.f64 z t) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (/.f64 1 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))))) (sqrt.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 z t)) (+.f64 (*.f64 y (/.f64 z t)) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 z t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x))))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x))))) (cbrt.f64 (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 y (/.f64 z t) x)))))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 z (/.f64 t y)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x)))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 t y)) (fma.f64 y (/.f64 z t) x))))))) |
(pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 1) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 3) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(pow.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3) 1/3) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 y t) (neg.f64 z) x) 2)) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 z (/.f64 t y))) 2)) |
(log.f64 (exp.f64 (-.f64 x (*.f64 y (/.f64 z t))))) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t)))))) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 z t))) 3)) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y (/.f64 z t))))) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(exp.f64 (log.f64 (-.f64 x (*.f64 y (/.f64 z t))))) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y (/.f64 z t))))) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(fma.f64 1 x (*.f64 (/.f64 y t) (neg.f64 z))) |
(fma.f64 (/.f64 y t) (neg.f64 z) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 z))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (/.f64 (neg.f64 y) t))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 z))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (/.f64 (neg.f64 y) t))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
| ✓ | 4.0b | (/.f64 (*.f64 (expm1.f64 z) y) t) |
Compiled 28 to 8 computations (71.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | t | @ | inf | (/.f64 (*.f64 (expm1.f64 z) y) t) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 (expm1.f64 z) y) t) |
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 (expm1.f64 z) y) t) |
| 0.0ms | z | @ | inf | (/.f64 (*.f64 (expm1.f64 z) y) t) |
| 0.0ms | t | @ | -inf | (/.f64 (*.f64 (expm1.f64 z) y) t) |
| 1× | batch-egg-rewrite |
| 1876× | associate-*r/ |
| 1532× | associate-/r* |
| 1382× | associate-*l/ |
| 1316× | associate-/l* |
| 246× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 231 | 40 |
| 2 | 3210 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (expm1.f64 z) y) t) |
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (fma.f64 (neg.f64 (/.f64 1 t)) (*.f64 (expm1.f64 z) y) (*.f64 (expm1.f64 z) (/.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (fma.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 1 (*.f64 (expm1.f64 z) (/.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (*.f64 (expm1.f64 z) (/.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2) (*.f64 (expm1.f64 z) (/.f64 y t)))))))) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))))) |
| 1× | egg-herbie |
| 1580× | associate-/r/ |
| 918× | associate-+r+ |
| 854× | associate-+l+ |
| 606× | +-commutative |
| 494× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 395 | 9254 |
| 1 | 1051 | 9026 |
| 2 | 5195 | 8962 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y z) t) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))) |
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x))) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
x |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) 1) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (/.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))) (-.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (*.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (neg.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) 1) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) |
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))))) (-.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (*.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (neg.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))) 1) (-.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) (*.f64 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) 1) (neg.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (/.f64 t (*.f64 (expm1.f64 z) y)))) (/.f64 1 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (+.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2) 3)) (/.f64 1 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (/.f64 t (*.f64 (expm1.f64 z) y))) (*.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) 1) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 3) |
(pow.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) |
(log.f64 (exp.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))) |
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(exp.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(fma.f64 1 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) |
| Outputs |
|---|
(/.f64 (*.f64 y z) t) |
(/.f64 y (/.f64 t z)) |
(*.f64 (/.f64 y t) z) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))) |
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))) |
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)) |
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 y t) z) z) (*.f64 (/.f64 y t) z)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))) |
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))) |
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))) |
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 y t) z) z) (*.f64 (/.f64 y t) z))) |
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))) |
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z))))))) |
(fma.f64 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)))) |
(fma.f64 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 y t) z) z) (*.f64 (/.f64 y t) z)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(neg.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) |
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
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(pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 1) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 3) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(pow.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3) 1/3) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) |
(fabs.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(log.f64 (exp.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3)) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(exp.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(fma.f64 1 x (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (*.f64 (expm1.f64 z) y)) |
| ✓ | 4.1b | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
Compiled 32 to 9 computations (71.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 0.0ms | y | @ | 0 | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 0.0ms | y | @ | -inf | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 0.0ms | z | @ | -inf | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 0.0ms | y | @ | inf | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 1× | batch-egg-rewrite |
| 1988× | add-sqr-sqrt |
| 1976× | *-un-lft-identity |
| 1828× | add-cube-cbrt |
| 1800× | add-cbrt-cube |
| 222× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 222 | 36 |
| 2 | 2896 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1)))))) |
| 1× | egg-herbie |
| 1552× | associate-*r/ |
| 1466× | associate-/r* |
| 1158× | associate-*l/ |
| 958× | associate-+l+ |
| 858× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 4694 |
| 1 | 774 | 4514 |
| 2 | 3637 | 4514 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)))) |
(+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 z 4) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4))))))) t)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))))) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))) |
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))) |
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))))) |
(*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)))))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(-.f64 0 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 1) |
(-.f64 (/.f64 0 t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
(*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1) |
(*.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t))) |
(*.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(*.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -1) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(+.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(-.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 1) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) |
(*.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 -1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) 1/3) |
(neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) |
(log.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(neg.f64 (/.f64 y (/.f64 t z))) |
(/.f64 (neg.f64 y) (/.f64 t z)) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))))) |
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (/.f64 y (/.f64 t z))) |
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (/.f64 (neg.f64 (*.f64 y z)) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)))) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) (/.f64 t (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))))) (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y)))))) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (*.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))))) (/.f64 y (/.f64 t z))) |
(-.f64 (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))))) (*.f64 (/.f64 y t) z)) |
(+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 z 4) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4))))))) t)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))))) |
(fma.f64 -1/24 (/.f64 (*.f64 (pow.f64 z 4) (fma.f64 -3 (*.f64 y y) (+.f64 y (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 -6 (pow.f64 y 4))))))) t) (fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) (/.f64 t (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))))) (*.f64 -1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))))))) |
(fma.f64 -1/24 (*.f64 (/.f64 (pow.f64 z 4) t) (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 -6 (pow.f64 y 4)))) (fma.f64 (*.f64 y y) -3 y))) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (*.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))))) (/.f64 y (/.f64 t z)))) |
(fma.f64 -1/24 (*.f64 (/.f64 (pow.f64 z 4) t) (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 -6 (pow.f64 y 4)))) (fma.f64 (*.f64 y y) -3 y))) (-.f64 (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 z 3) t) (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))))) (*.f64 (/.f64 y t) z))) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 1)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(+.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(-.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 1) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 -1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 (neg.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(neg.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(/.f64 (neg.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) (+.f64 0 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))) |
(/.f64 (neg.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) 1/3) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(fabs.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(log.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| ✓ | 0.2b | (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) |
| 4.1b | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) | |
| ✓ | 27.7b | (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) |
Compiled 58 to 18 computations (69% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) |
| 2.0ms | y | @ | -inf | (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) |
| 2.0ms | z | @ | 0 | (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) |
| 2.0ms | t | @ | -inf | (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) |
| 2.0ms | y | @ | 0 | (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) |
| 1× | batch-egg-rewrite |
| 1036× | *-commutative |
| 942× | associate-*r/ |
| 914× | unswap-sqr |
| 680× | associate-/r* |
| 652× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 48 |
| 1 | 267 | 48 |
| 2 | 3052 | 48 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1594× | associate-*l* |
| 1532× | associate-/r* |
| 1048× | associate-/l/ |
| 1004× | associate-*r/ |
| 868× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1038 | 24654 |
| 1 | 2976 | 24064 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) |
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(/.f64 (*.f64 y z) t) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t))))) |
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(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) 3) -1) (/.f64 t (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) t) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (sqrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (cbrt.f64 t)) |
(/.f64 (*.f64 -1 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 t (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t))) 1) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) 1) (neg.f64 (pow.f64 t 3))) |
(/.f64 (*.f64 (pow.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1) (pow.f64 (neg.f64 t) 3)) |
(/.f64 (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3/2)) (sqrt.f64 (pow.f64 t 3))) |
(/.f64 (*.f64 1 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3/2) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3/2) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 t)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3/2) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (neg.f64 t))) |
(/.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (*.f64 t t)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) t) |
(/.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (neg.f64 (*.f64 t t))) |
(/.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (*.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (/.f64 1 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (/.f64 (sqrt.f64 t) 1)) (/.f64 (sqrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (/.f64 (sqrt.f64 t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 (sqrt.f64 t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (/.f64 (sqrt.f64 t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (/.f64 (pow.f64 (cbrt.f64 t) 2) 1)) (/.f64 (cbrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 (cbrt.f64 t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (/.f64 (cbrt.f64 t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) t) (*.f64 t t)) |
(/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1) (pow.f64 t 3)) |
(/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (sqrt.f64 (pow.f64 t 3))) (sqrt.f64 (pow.f64 t 3))) |
(/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t (sqrt.f64 t))) (*.f64 t (sqrt.f64 t))) |
(/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 (sqrt.f64 t) (*.f64 t t))) (sqrt.f64 t)) |
(/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 t t))) (cbrt.f64 t)) |
(/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 t 3/2)) (pow.f64 t 3/2)) |
(/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 (sqrt.f64 t) 3)) (pow.f64 (sqrt.f64 t) 3)) |
(/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 (pow.f64 (cbrt.f64 t) 2) 3)) t) |
(/.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t)) 1) t) |
(/.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t)) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t)) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t))) 1) (neg.f64 t)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t))) (sqrt.f64 t)) (neg.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t))) (pow.f64 (cbrt.f64 t) 2)) (neg.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t))) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 t))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t))) (*.f64 (cbrt.f64 (neg.f64 t)) (cbrt.f64 (neg.f64 t)))) (cbrt.f64 (neg.f64 t))) |
(/.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t))) -1) t) |
(/.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t))) (neg.f64 (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (*.f64 t t))) (neg.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t)) |
(neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) |
(neg.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) |
(neg.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) 3) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) |
(neg.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (neg.f64 (pow.f64 t 3)))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 6)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))) |
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))) |
(+.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t (*.f64 y y)))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))) |
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))) |
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (+.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t (*.f64 y y))))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (+.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) (/.f64 (*.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t (*.f64 y y)))))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 (/.f64 1/2 (*.f64 t (*.f64 y y))) (pow.f64 (expm1.f64 z) 2)))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (/.f64 1/3 (*.f64 t (pow.f64 y 3))) (pow.f64 (expm1.f64 z) 3))) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 (/.f64 1/2 (*.f64 t (*.f64 y y))) (pow.f64 (expm1.f64 z) 2)))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t) |
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 (/.f64 1/2 (*.f64 t (*.f64 y y))) (pow.f64 (expm1.f64 z) 2)))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))) |
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(/.f64 (pow.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3) (*.f64 (*.f64 t (neg.f64 t)) t)) |
(neg.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) 3) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) |
(*.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2) (neg.f64 t))) |
(/.f64 (pow.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3) (*.f64 (*.f64 t (neg.f64 t)) t)) |
(neg.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (neg.f64 (pow.f64 t 3)))) |
(/.f64 (pow.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3) (pow.f64 (neg.f64 t) 3)) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 6)) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 3)) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) |
Compiled 55694 to 20429 computations (63.3% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1982 | 24 | 2006 |
| Fresh | 12 | 2 | 14 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1996 | 30 | 2026 |
| Status | Error | Program |
|---|---|---|
| 41.3b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2) | |
| ▶ | 57.4b | (/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t) |
| 50.2b | (/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t) | |
| 54.7b | (/.f64 (neg.f64 (*.f64 y z)) t) | |
| ✓ | 44.6b | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 44.7b | (/.f64 (neg.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t) | |
| 51.3b | (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) | |
| 50.7b | (/.f64 (neg.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t) | |
| 54.6b | (/.f64 (neg.f64 y) (/.f64 t z)) | |
| 10.8b | (/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) | |
| 56.1b | (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (/.f64 y (/.f64 t z))) | |
| 28.4b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) | |
| 17.2b | (-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y))) | |
| ▶ | 16.9b | (-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t)) |
| ✓ | 8.5b | (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
| 16.9b | (-.f64 x (/.f64 (*.f64 z y) t)) | |
| ✓ | 0.3b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 16.9b | (-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) | |
| ▶ | 0.4b | (-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| 17.7b | (-.f64 x (-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 y t))) | |
| 19.2b | (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))) | |
| 25.7b | (-.f64 x (*.f64 (/.f64 1 t) (fma.f64 (*.f64 1/2 (*.f64 z z)) (-.f64 y (*.f64 y y)) (*.f64 z y)))) | |
| 13.4b | (-.f64 x (*.f64 (/.f64 1 t) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3))) | |
| 17.2b | (-.f64 x (*.f64 y (/.f64 z t))) | |
| ✓ | 10.9b | (-.f64 x (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
| 19.7b | (+.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (+.f64 x (fma.f64 (/.f64 (neg.f64 y) t) z (*.f64 y (/.f64 z t))))) | |
| ▶ | 55.9b | (*.f64 (/.f64 y t) (neg.f64 z)) |
| ▶ | 44.7b | (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
| 57.4b | (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) | |
| 18.9b | x |
Compiled 796 to 554 computations (30.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| ✓ | 0.0b | (-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| ✓ | 0.9b | (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| ✓ | 3.8b | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
Compiled 47 to 14 computations (70.2% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 2.0ms | y | @ | -inf | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1.0ms | z | @ | 0 | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1.0ms | y | @ | 0 | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1.0ms | t | @ | 0 | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1× | batch-egg-rewrite |
| 1758× | associate-*r/ |
| 1318× | associate-*l/ |
| 1228× | associate-/r* |
| 298× | add-sqr-sqrt |
| 292× | *-un-lft-identity |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 81 |
| 1 | 289 | 69 |
| 2 | 3742 | 69 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t t)) (*.f64 (cbrt.f64 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 t) (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 t t)) 1) (/.f64 (cbrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 t t)) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 (cbrt.f64 t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 t t)) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 t (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) 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| 1× | egg-herbie |
| 854× | fma-def |
| 806× | associate-*r* |
| 658× | associate-*l* |
| 608× | *-commutative |
| 566× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 656 | 17262 |
| 1 | 1869 | 16592 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2) 3)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3) |
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) |
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) |
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
| Outputs |
|---|
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (expm1.f64 z) y)) |
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t)) |
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)) |
(fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) |
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y)))) |
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (fma.f64 1/2 t (neg.f64 (*.f64 y (*.f64 (*.f64 t (expm1.f64 z)) 1/12))))) |
(-.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) (*.f64 y (*.f64 t (*.f64 (expm1.f64 z) 1/12)))) |
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))))) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y))))) |
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (fma.f64 1/2 t (*.f64 -1 (+.f64 (*.f64 (*.f64 y y) (fma.f64 -1/4 (*.f64 t (pow.f64 (expm1.f64 z) 2)) (fma.f64 1/2 (*.f64 (expm1.f64 z) (*.f64 (*.f64 t (expm1.f64 z)) 1/12)) (*.f64 (*.f64 t (pow.f64 (expm1.f64 z) 2)) 1/6)))) (*.f64 y (*.f64 (*.f64 t (expm1.f64 z)) 1/12)))))) |
(+.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 -1/4 (*.f64 t (pow.f64 (expm1.f64 z) 2)) (fma.f64 1/2 (*.f64 (*.f64 t (pow.f64 (expm1.f64 z) 2)) 1/12) (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) 1/6)))) (*.f64 y (*.f64 t (*.f64 (expm1.f64 z) 1/12)))))) |
(/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) |
(/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) |
(+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y))))) |
(+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (neg.f64 t) (*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)))) |
(-.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (pow.f64 y 2))) (+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))))) |
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (/.f64 (neg.f64 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 y y)) (+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (neg.f64 t) (*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))))) |
(-.f64 (-.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3))) (*.f64 y y))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 1/3 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (pow.f64 y 3))) (+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y))))))) |
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (/.f64 (neg.f64 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 y y)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 3)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (/.f64 (neg.f64 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 (expm1.f64 z) (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))) (*.f64 1/3 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 (expm1.f64 z) 3)))))) (pow.f64 y 3)) (+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (neg.f64 t) (*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (fma.f64 1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 3)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3)) (-.f64 (*.f64 1/3 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 3)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3))) (*.f64 (expm1.f64 z) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))))) (pow.f64 y 3))) (/.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 (expm1.f64 z) 2)) (/.f64 t (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3))) (*.f64 y y))) |
(/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) |
(/.f64 t (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))) |
(/.f64 t (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) |
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x |
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(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)) |
(fabs.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.3b | (*.f64 (/.f64 y t) (neg.f64 z)) |
Compiled 18 to 7 computations (61.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (*.f64 (/.f64 y t) (neg.f64 z)) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 y t) (neg.f64 z)) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 y t) (neg.f64 z)) |
| 0.0ms | t | @ | -inf | (*.f64 (/.f64 y t) (neg.f64 z)) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 y t) (neg.f64 z)) |
| 1× | batch-egg-rewrite |
| 1790× | add-sqr-sqrt |
| 1778× | *-un-lft-identity |
| 1650× | add-cube-cbrt |
| 1624× | add-cbrt-cube |
| 192× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 188 | 13 |
| 2 | 2530 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y t) (neg.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 y t) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y t) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 y t) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z))))))) |
| 1× | egg-herbie |
| 1490× | associate-/r/ |
| 1094× | associate-*r* |
| 980× | associate-*l* |
| 604× | associate-+r+ |
| 562× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 949 |
| 1 | 150 | 949 |
| 2 | 593 | 949 |
| 3 | 4220 | 949 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(-.f64 0 (*.f64 (/.f64 y t) z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) 1) |
(/.f64 y (/.f64 t z)) |
(/.f64 z (/.f64 t y)) |
(/.f64 1 (/.f64 t (*.f64 y z))) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) (neg.f64 t)) |
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 t)) |
(/.f64 (/.f64 (*.f64 y z) 1) t) |
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(pow.f64 (*.f64 (/.f64 y t) z) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 y t) z)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y t))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) z)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) |
(exp.f64 (log.f64 (*.f64 (/.f64 y t) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(-.f64 0 (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) 1) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 y (/.f64 t z)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 z (/.f64 t y)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 1 (/.f64 t (*.f64 y z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) (neg.f64 t)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (/.f64 (*.f64 y z) 1) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(pow.f64 (*.f64 (/.f64 y t) z) 1) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(neg.f64 (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 y (neg.f64 (/.f64 z t))) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y t))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) z)))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(exp.f64 (log.f64 (*.f64 (/.f64 y t) z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t)) |
| ✓ | 0.2b | (/.f64 y (/.f64 1 z)) |
| ✓ | 4.6b | (/.f64 (/.f64 y (/.f64 1 z)) t) |
Compiled 33 to 19 computations (42.4% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (/.f64 y (/.f64 1 z)) |
| 0.0ms | z | @ | inf | (/.f64 y (/.f64 1 z)) |
| 0.0ms | y | @ | -inf | (/.f64 y (/.f64 1 z)) |
| 0.0ms | z | @ | -inf | (/.f64 y (/.f64 1 z)) |
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 y (/.f64 1 z)) t) |
| 1× | batch-egg-rewrite |
| 962× | associate-/r/ |
| 826× | swap-sqr |
| 768× | associate-/l/ |
| 550× | distribute-lft-neg-in |
| 496× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 57 |
| 1 | 243 | 39 |
| 2 | 3556 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 y (/.f64 1 z)) t) |
(/.f64 y (/.f64 1 z)) |
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t)) |
| Outputs |
|---|
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(/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> 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| 1× | egg-herbie |
| 1132× | associate-+r+ |
| 1078× | associate-*r* |
| 896× | associate-*l* |
| 680× | +-commutative |
| 642× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 492 | 8206 |
| 1 | 1402 | 7720 |
| 2 | 7374 | 7720 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
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(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
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(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
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(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) 1) |
(*.f64 y (*.f64 z (pow.f64 t -1))) |
(*.f64 y (/.f64 z t)) |
(*.f64 1 (*.f64 (/.f64 y t) z)) |
(*.f64 (*.f64 y z) (pow.f64 t -1)) |
(*.f64 (*.f64 (/.f64 y t) z) 1) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) (sqrt.f64 (*.f64 (/.f64 y t) z))) |
(*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 t -1))) |
(*.f64 (sqrt.f64 (*.f64 y z)) (/.f64 (sqrt.f64 (*.f64 y z)) t)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (cbrt.f64 (*.f64 (/.f64 y t) z))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 t -1))) |
(*.f64 (pow.f64 t -1) (*.f64 y z)) |
(*.f64 (*.f64 y (neg.f64 z)) (/.f64 -1 t)) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (*.f64 y z) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (*.f64 y z) (cbrt.f64 t))) |
(*.f64 (/.f64 y t) z) |
(*.f64 (/.f64 -1 t) (*.f64 y (neg.f64 z))) |
(*.f64 (/.f64 z t) y) |
(*.f64 (/.f64 (sqrt.f64 y) t) (*.f64 (/.f64 (sqrt.f64 y) 1) z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) t) (*.f64 (/.f64 (cbrt.f64 y) 1) z)) |
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 z (sqrt.f64 t))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 z (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y z)) t) (sqrt.f64 (*.f64 y z))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 y z)) (cbrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y z)) t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 y z)) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 (/.f64 y t) z))) |
(*.f64 (/.f64 y (neg.f64 t)) (neg.f64 z)) |
(*.f64 (/.f64 1 (/.f64 t y)) z) |
(*.f64 (/.f64 1 (/.f64 t (sqrt.f64 (*.f64 y z)))) (sqrt.f64 (*.f64 y z))) |
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) (cbrt.f64 (*.f64 y z))) |
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 t z)) (sqrt.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 t z)) (cbrt.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) t) (cbrt.f64 (*.f64 y z))) |
(*.f64 (/.f64 (pow.f64 t -1) 1) (*.f64 y z)) |
(*.f64 (/.f64 (pow.f64 t -1) (/.f64 1 z)) y) |
(*.f64 (/.f64 (pow.f64 t -1) (pow.f64 z -1/2)) (*.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 (pow.f64 t -1) (cbrt.f64 (pow.f64 z -2))) (*.f64 y (cbrt.f64 z))) |
(*.f64 (/.f64 (pow.f64 t -1) -1) (*.f64 y (neg.f64 z))) |
(*.f64 (/.f64 (pow.f64 t -1) (/.f64 -1 z)) (neg.f64 y)) |
(*.f64 (/.f64 (pow.f64 t -1) (/.f64 (/.f64 1 z) (sqrt.f64 y))) (sqrt.f64 y)) |
(*.f64 (/.f64 (pow.f64 t -1) (/.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 (*.f64 y (pow.f64 t -1)) 1) z) |
(*.f64 (/.f64 (*.f64 y (pow.f64 t -1)) (pow.f64 z -1/2)) (sqrt.f64 z)) |
(*.f64 (/.f64 (*.f64 y (pow.f64 t -1)) -1) (neg.f64 z)) |
(*.f64 (/.f64 (*.f64 y (pow.f64 t -1)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(*.f64 (/.f64 (neg.f64 (*.f64 y (pow.f64 t -1))) 1) (neg.f64 z)) |
(*.f64 (/.f64 (neg.f64 (*.f64 y (pow.f64 t -1))) -1) z) |
(*.f64 (/.f64 (/.f64 y t) 1) z) |
(*.f64 (/.f64 (/.f64 y t) (pow.f64 z -1/2)) (sqrt.f64 z)) |
(*.f64 (/.f64 (/.f64 y t) -1) (neg.f64 z)) |
(*.f64 (/.f64 (/.f64 y t) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(pow.f64 (*.f64 (/.f64 y t) z) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3) |
(pow.f64 (/.f64 t (*.f64 y z)) -1) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3) |
(neg.f64 (*.f64 (neg.f64 y) (/.f64 z t))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 y t) z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y t) z)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) |
(exp.f64 (log.f64 (*.f64 (/.f64 y t) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) 1) |
(*.f64 y z) |
(*.f64 1 (*.f64 y z)) |
(*.f64 (*.f64 y z) 1) |
(*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z))) |
(*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 y z))))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z)) |
(*.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 y z))))) |
(*.f64 z y) |
(*.f64 -1 (*.f64 y (neg.f64 z))) |
(*.f64 (neg.f64 z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 z)) |
(*.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) (neg.f64 (sqrt.f64 (*.f64 y (neg.f64 z))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 y (neg.f64 z))) (cbrt.f64 (*.f64 y (neg.f64 z)))) (neg.f64 (cbrt.f64 (*.f64 y (neg.f64 z))))) |
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (*.f64 y (cbrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (neg.f64 (sqrt.f64 (*.f64 y z)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (neg.f64 (cbrt.f64 (*.f64 y z)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) 1) z) (sqrt.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) 1) z)) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) 1) z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 z -1/2)) (/.f64 (cbrt.f64 y) (pow.f64 z -1/2))) |
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(*.f64 (/.f64 y (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 z) (sqrt.f64 y))) (sqrt.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 z)) (cbrt.f64 y)) |
(*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) 1) (sqrt.f64 z)) |
(*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 y (cbrt.f64 (pow.f64 z -2))) 1) (cbrt.f64 z)) |
(*.f64 (/.f64 (/.f64 y (cbrt.f64 (pow.f64 z -2))) -1) (cbrt.f64 (neg.f64 z))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 y (neg.f64 z)))) (sqrt.f64 (*.f64 y (neg.f64 z)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 y (neg.f64 z))) (cbrt.f64 (*.f64 y (neg.f64 z))))) (cbrt.f64 (*.f64 y (neg.f64 z)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 y z)))) (sqrt.f64 (*.f64 y z))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2))) (cbrt.f64 (*.f64 y z))) |
(pow.f64 (*.f64 y z) 1) |
(pow.f64 (sqrt.f64 (*.f64 y z)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y z)) 3) |
(pow.f64 (pow.f64 (*.f64 y z) 3) 1/3) |
(pow.f64 (/.f64 1 (*.f64 y z)) -1) |
(neg.f64 (*.f64 y (neg.f64 z))) |
(sqrt.f64 (pow.f64 (*.f64 y z) 2)) |
(log.f64 (pow.f64 (exp.f64 y) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y z)))) |
(cbrt.f64 (pow.f64 (*.f64 y z) 3)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 z -2)) z)) |
(expm1.f64 (log1p.f64 (*.f64 y z))) |
(exp.f64 (log.f64 (*.f64 y z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y z))) |
(+.f64 x (*.f64 (neg.f64 y) (/.f64 z t))) |
(+.f64 x (+.f64 (*.f64 (neg.f64 y) (/.f64 z t)) (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)))) |
(+.f64 x (+.f64 (*.f64 (neg.f64 y) (/.f64 z t)) (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)))) |
(+.f64 x (+.f64 (*.f64 (neg.f64 y) (/.f64 z t)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)))) |
(+.f64 x (+.f64 (*.f64 (neg.f64 y) (/.f64 z t)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)) (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)) (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)) (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)) (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)) (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)) (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)) (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)) (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (*.f64 1 (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (*.f64 1 (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)))) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (*.f64 (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)) 1)) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (*.f64 (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)) 1)) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)) 1)) |
(+.f64 (-.f64 x (*.f64 (/.f64 y t) z)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)) 1)) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 z t)) x) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 z t)) (+.f64 x (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)))) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 z t)) (+.f64 x (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)))) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 z t)) (+.f64 x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)))) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 z t)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)))) |
(+.f64 (fma.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 1 (*.f64 (/.f64 y t) z)) (-.f64 x (*.f64 (/.f64 y t) z))) |
(+.f64 (fma.f64 (/.f64 -1 t) (*.f64 y z) (*.f64 (/.f64 y t) z)) (-.f64 x (*.f64 (/.f64 y t) z))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y t) z))) (sqrt.f64 (*.f64 (/.f64 y t) z)) (*.f64 (/.f64 y t) z)) (-.f64 x (*.f64 (/.f64 y t) z))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 2) (*.f64 (/.f64 y t) z)) (-.f64 x (*.f64 (/.f64 y t) z))) |
(+.f64 (-.f64 x (exp.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))) 1) |
(*.f64 1 (-.f64 x (*.f64 (/.f64 y t) z))) |
(*.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 1) |
(*.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y t) z))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 y t) z)))) |
(*.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y t) z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 2) (cbrt.f64 (-.f64 x (*.f64 (/.f64 y t) z)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2)) (/.f64 1 (+.f64 (*.f64 (/.f64 y t) z) x))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x))))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y t) z)))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 y t) z) x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2))) |
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2))) (-.f64 x (*.f64 (/.f64 y t) z))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y t) z) (-.f64 (*.f64 (/.f64 y t) z) x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (-.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) (*.f64 (+.f64 (*.f64 (/.f64 y t) z) x) (+.f64 (*.f64 (/.f64 y t) z) x))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x)) 3))) (+.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x)) (-.f64 (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x)) (*.f64 x x))))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (/.f64 y t) z) x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2)))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2)) (+.f64 (*.f64 (/.f64 y t) z) x)) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) (pow.f64 (*.f64 (/.f64 y t) z) 3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) (*.f64 (/.f64 y t) z))) (*.f64 (+.f64 (*.f64 (/.f64 y t) z) x) (+.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (/.f64 z t)) (-.f64 (*.f64 (neg.f64 y) (/.f64 z t)) x)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) 3)) (*.f64 (+.f64 (*.f64 (/.f64 y t) z) x) (+.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) (+.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) (*.f64 x x)))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (*.f64 (/.f64 y t) z) 2)) (neg.f64 (+.f64 (*.f64 (/.f64 y t) z) x))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x))))) |
(pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 3) |
(pow.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2)) (neg.f64 (+.f64 (*.f64 (/.f64 y t) z) x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x)))))) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 2)) |
(log.f64 (exp.f64 (-.f64 x (*.f64 (/.f64 y t) z)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (/.f64 y t) z))))) |
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 y t) z)))) |
(exp.f64 (log.f64 (-.f64 x (*.f64 (/.f64 y t) z)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 y t) z)))) |
(fma.f64 1 x (*.f64 (neg.f64 y) (/.f64 z t))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) (/.f64 z t))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 y) (/.f64 z t))) |
| Outputs |
|---|
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (/.f64 y t)) 2)) (fma.f64 z (/.f64 y t) x)) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 y t) z x)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (/.f64 y t) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) (pow.f64 (*.f64 (/.f64 y t) z) 3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (/.f64 y t)) 6)) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 y t) z x)))) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (/.f64 y t)) 6)) (*.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (/.f64 y t) x))) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) (*.f64 (/.f64 y t) z))) (*.f64 (+.f64 (*.f64 (/.f64 y t) z) x) (+.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (/.f64 y t)) 4)) (*.f64 (fma.f64 (/.f64 y t) z x) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (/.f64 y t)) 4)) (*.f64 (fma.f64 z (/.f64 y t) x) (fma.f64 x x (pow.f64 (*.f64 z (/.f64 y t)) 2)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (/.f64 z t)) (-.f64 (*.f64 (neg.f64 y) (/.f64 z t)) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 y t) z x)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (/.f64 y t)) 3)) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (/.f64 y t) x)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) 3)) (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 y t) z x)))) (+.f64 (pow.f64 x 6) (+.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3)) (pow.f64 (*.f64 z (/.f64 y t)) 6)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (/.f64 y t) x))) (fma.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3)) (pow.f64 x 6)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) 3)) (*.f64 (+.f64 (*.f64 (/.f64 y t) z) x) (+.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) (+.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2) (*.f64 x x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) 3)) (fma.f64 (/.f64 y t) z x)) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (/.f64 y t)) 6)) (fma.f64 z (/.f64 y t) x)) (fma.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (fma.f64 x x (pow.f64 (*.f64 z (/.f64 y t)) 2)) (pow.f64 x 4))) |
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (*.f64 (/.f64 y t) z) 2)) (neg.f64 (+.f64 (*.f64 (/.f64 y t) z) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x (neg.f64 x))) (neg.f64 (fma.f64 (/.f64 y t) z x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x x)) (neg.f64 (fma.f64 z (/.f64 y t) x))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (neg.f64 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 y t) z x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (/.f64 y t) x))))) |
(pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 1) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 2) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 3) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(pow.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 3) 1/3) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y t) z) 2)) (neg.f64 (+.f64 (*.f64 (/.f64 y t) z) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x (neg.f64 x))) (neg.f64 (fma.f64 (/.f64 y t) z x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x x)) (neg.f64 (fma.f64 z (/.f64 y t) x))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y t) z) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y t) z) (+.f64 (*.f64 (/.f64 y t) z) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (neg.f64 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 y t) z x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3) (pow.f64 x 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 z (/.f64 y t) x))))) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 2)) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (/.f64 y t))) 2)) |
(fabs.f64 (-.f64 x (*.f64 z (/.f64 y t)))) |
(log.f64 (exp.f64 (-.f64 x (*.f64 (/.f64 y t) z)))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (/.f64 y t) z))))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) z)) 3)) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 y t) z)))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(exp.f64 (log.f64 (-.f64 x (*.f64 (/.f64 y t) z)))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 1)) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 y t) z)))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(fma.f64 1 x (*.f64 (neg.f64 y) (/.f64 z t))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) (/.f64 z t))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 y) (/.f64 z t))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t) |
| ✓ | 5.2b | (-.f64 (exp.f64 z) 1) |
Compiled 36 to 20 computations (44.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t) |
| 1.0ms | z | @ | inf | (/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t) |
| 1.0ms | z | @ | -inf | (/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t) |
| 1.0ms | t | @ | 0 | (/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t) |
| 1.0ms | y | @ | 0 | (/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t) |
| 1× | batch-egg-rewrite |
| 1316× | associate-*r/ |
| 1138× | *-commutative |
| 982× | associate-*l/ |
| 456× | distribute-lft-neg-in |
| 412× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 251 | 22 |
| 2 | 3412 | 22 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 z) 1) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 (expm1.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (cbrt.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (/.f64 1 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 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(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) t) (cbrt.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 t) (*.f64 (expm1.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 t 1)) (*.f64 (expm1.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 t (expm1.f64 z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 t (sqrt.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 t (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2))) (cbrt.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 t (neg.f64 (expm1.f64 z)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 t -1)) (*.f64 (expm1.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 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t))) (/.f64 y (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2))) (/.f64 (neg.f64 y) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2))) (/.f64 y (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2))) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t))) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) (sqrt.f64 t))) (/.f64 y (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 y (sqrt.f64 t))) (/.f64 (expm1.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2))) (/.f64 y (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (sqrt.f64 t))) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2))) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 y 1)) (/.f64 (expm1.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2))) (/.f64 (expm1.f64 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))))))) |
| 1× | egg-herbie |
| 1016× | associate-*r* |
| 862× | associate-*l* |
| 660× | associate-+r+ |
| 656× | associate-/l* |
| 556× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 461 | 6901 |
| 1 | 1354 | 6597 |
| 2 | 6229 | 6575 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z) |
(+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))) |
(+.f64 (*.f64 1/24 (pow.f64 z 4)) (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3))))) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(+.f64 (exp.f64 z) -1) |
(+.f64 -1 (exp.f64 z)) |
(*.f64 1 (expm1.f64 z)) |
(*.f64 (expm1.f64 z) 1) |
(*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (expm1.f64 z))) |
(*.f64 (cbrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (cbrt.f64 (expm1.f64 z))) |
(*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (/.f64 1 (+.f64 (exp.f64 z) 1))) |
(*.f64 -1 (neg.f64 (expm1.f64 z))) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)))) |
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 z))) (neg.f64 (sqrt.f64 (expm1.f64 z)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)) (neg.f64 (cbrt.f64 (expm1.f64 z)))) |
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 z))) (-.f64 (sqrt.f64 (exp.f64 z)) 1)) |
(*.f64 (-.f64 (sqrt.f64 (exp.f64 z)) 1) (+.f64 1 (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 1 (+.f64 (exp.f64 z) 1)) (fma.f64 (exp.f64 z) (exp.f64 z) -1)) |
(*.f64 (/.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1))) (+.f64 -1 (pow.f64 (exp.f64 z) 3))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (fma.f64 (exp.f64 z) (exp.f64 z) -1)) (expm1.f64 z)) |
(*.f64 (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (-.f64 1 (pow.f64 (exp.f64 z) 2))) (neg.f64 (expm1.f64 z))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 1 (pow.f64 (exp.f64 z) 3))) (+.f64 1 (*.f64 (exp.f64 z) (expm1.f64 z)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2)) (*.f64 (+.f64 (exp.f64 z) 1) (+.f64 (exp.f64 z) 1)))) (-.f64 (*.f64 (exp.f64 z) (expm1.f64 z)) 1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 z) 2) 3) (pow.f64 (+.f64 (exp.f64 z) 1) 3))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2)) (*.f64 (+.f64 (exp.f64 z) 1) (-.f64 (+.f64 (exp.f64 z) 1) (pow.f64 (exp.f64 z) 2))))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 z)))) (sqrt.f64 (neg.f64 (expm1.f64 z)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (expm1.f64 z))) (cbrt.f64 (neg.f64 (expm1.f64 z))))) (cbrt.f64 (neg.f64 (expm1.f64 z)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (expm1.f64 z)))) (sqrt.f64 (expm1.f64 z))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2))) (cbrt.f64 (expm1.f64 z))) |
(/.f64 1 (/.f64 (+.f64 (exp.f64 z) 1) (fma.f64 (exp.f64 z) (exp.f64 z) -1))) |
(/.f64 1 (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)) (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) |
(/.f64 1 (/.f64 1 (expm1.f64 z))) |
(/.f64 (expm1.f64 z) 1) |
(/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (neg.f64 (exp.f64 z))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (*.f64 1 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (neg.f64 (exp.f64 z)))))) |
(/.f64 (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1)) (neg.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1)) (*.f64 1 (neg.f64 (+.f64 (exp.f64 z) 1)))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (*.f64 1 (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3)) 1) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)) (+.f64 1 (pow.f64 (exp.f64 z) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3)) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (neg.f64 (exp.f64 z)))) (+.f64 1 (pow.f64 (exp.f64 z) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2)) 1) (*.f64 (+.f64 (exp.f64 z) 1) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 z) 3) 3) 1) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3)) (+.f64 1 (pow.f64 (exp.f64 z) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 z) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (neg.f64 (exp.f64 z)))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3)) (+.f64 1 (pow.f64 (exp.f64 z) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 z) 2) 3) 1) (*.f64 (+.f64 (exp.f64 z) 1) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2)) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 1 (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1))) (neg.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)))) |
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (sqrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)))) |
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1))) (sqrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (cbrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (cbrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1))) (cbrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1)) 1) (neg.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) 1) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1)) (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)) (cbrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1)) (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)) (cbrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2)) 1) (/.f64 1 (+.f64 (exp.f64 z) 1))) (+.f64 1 (pow.f64 (exp.f64 z) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 z) 2) 3) 1) (/.f64 1 (+.f64 (exp.f64 z) 1))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2)) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3)) 1) (/.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)))) (+.f64 1 (pow.f64 (exp.f64 z) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 z) 3) 3) 1) (/.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3)) (+.f64 1 (pow.f64 (exp.f64 z) 3)))) |
(pow.f64 (expm1.f64 z) 1) |
(pow.f64 (sqrt.f64 (expm1.f64 z)) 2) |
(pow.f64 (cbrt.f64 (expm1.f64 z)) 3) |
(pow.f64 (pow.f64 (expm1.f64 z) 3) 1/3) |
(neg.f64 (neg.f64 (expm1.f64 z))) |
(sqrt.f64 (pow.f64 (expm1.f64 z) 2)) |
(log.f64 (exp.f64 (expm1.f64 z))) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 z)))) |
(cbrt.f64 (pow.f64 (expm1.f64 z) 3)) |
(expm1.f64 z) |
(exp.f64 (log.f64 (expm1.f64 z))) |
(log1p.f64 (expm1.f64 (expm1.f64 z))) |
(fma.f64 1 (exp.f64 z) -1) |
(fma.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 z)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (cbrt.f64 (exp.f64 z)) -1) |
(+.f64 0 (*.f64 (expm1.f64 z) (/.f64 y t))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))) 1) |
(+.f64 (-.f64 0 (/.f64 0 t)) (*.f64 (expm1.f64 z) (/.f64 y t))) |
(+.f64 (-.f64 (/.f64 0 t) 0) (*.f64 (expm1.f64 z) (/.f64 y t))) |
(+.f64 (-.f64 (/.f64 0 t) (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))) 1) |
(+.f64 (-.f64 (/.f64 0 t) (/.f64 0 t)) (*.f64 (expm1.f64 z) (/.f64 y t))) |
(+.f64 (*.f64 (/.f64 1 t) 0) (*.f64 (expm1.f64 z) (/.f64 y t))) |
(+.f64 (*.f64 (/.f64 1 t) (*.f64 (exp.f64 z) y)) (/.f64 (neg.f64 y) t)) |
(+.f64 (*.f64 0 (/.f64 1 t)) (*.f64 (expm1.f64 z) (/.f64 y t))) |
(+.f64 (*.f64 (*.f64 (exp.f64 z) y) (/.f64 1 t)) (/.f64 (neg.f64 y) t)) |
(-.f64 0 (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) 1) |
(-.f64 (/.f64 0 t) (*.f64 (expm1.f64 z) (/.f64 y t))) |
(*.f64 1 (*.f64 (expm1.f64 z) (/.f64 y t))) |
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t)) |
(*.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 (neg.f64 t))) |
(*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1) |
(*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) -1) |
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 (neg.f64 y) t)) |
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 y t)) |
(*.f64 -1 (*.f64 (expm1.f64 z) (/.f64 y t))) |
(*.f64 (/.f64 1 t) (*.f64 (expm1.f64 z) y)) |
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t) (sqrt.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1)) |
(*.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (/.f64 1 (sqrt.f64 t))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (/.f64 -1 (sqrt.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t))) |
(*.f64 (/.f64 1 (neg.f64 t)) (*.f64 (expm1.f64 z) y)) |
(*.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 (neg.f64 y) (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))) |
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (neg.f64 y) (cbrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 (neg.f64 y) (cbrt.f64 t)) (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))) |
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t))) |
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (neg.f64 (expm1.f64 z)) (sqrt.f64 t))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 y (cbrt.f64 t)) (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 y (cbrt.f64 t)) (/.f64 (neg.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t)) (/.f64 1 (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t)) (/.f64 -1 (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 y 1) (/.f64 (expm1.f64 z) t)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) |
(*.f64 (/.f64 (expm1.f64 z) t) (/.f64 y 1)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (cbrt.f64 t)) (/.f64 y (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 1 (/.f64 t (expm1.f64 z))) (neg.f64 y)) |
(*.f64 (/.f64 1 (/.f64 t (sqrt.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2))) (cbrt.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 1 (/.f64 t (neg.f64 (expm1.f64 z)))) y) |
(*.f64 (/.f64 1 (/.f64 t -1)) (*.f64 (expm1.f64 z) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) t) (cbrt.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y) |
(*.f64 (/.f64 -1 t) (*.f64 (expm1.f64 z) y)) |
(*.f64 (/.f64 -1 (/.f64 t 1)) (*.f64 (expm1.f64 z) y)) |
(*.f64 (/.f64 -1 (/.f64 t (expm1.f64 z))) (neg.f64 y)) |
(*.f64 (/.f64 -1 (/.f64 t (sqrt.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 -1 (/.f64 t (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2))) (cbrt.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 -1 (/.f64 t (neg.f64 (expm1.f64 z)))) y) |
(*.f64 (/.f64 -1 (/.f64 t -1)) (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) |
(*.f64 (neg.f64 (/.f64 1 t)) (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 t))) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2))) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t))) (/.f64 (neg.f64 y) (sqrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t))) (/.f64 y (sqrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2))) (/.f64 (neg.f64 y) (cbrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2))) (/.f64 y (cbrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2))) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t))) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 (neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) (sqrt.f64 t))) (/.f64 y (sqrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 y (sqrt.f64 t))) (/.f64 (expm1.f64 z) (sqrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2))) (/.f64 y (cbrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 t))) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2))) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 y 1)) (/.f64 (expm1.f64 z) t)) |
(*.f64 (neg.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2))) (/.f64 (expm1.f64 z) (cbrt.f64 t))) |
(pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 3) |
(pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 1/3) |
(pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) -1) |
(neg.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) |
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) |
(log.f64 (exp.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) (pow.f64 t 3))) |
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z) |
(fma.f64 1/2 (*.f64 z z) z) |
(+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))) |
(+.f64 (fma.f64 1/2 (*.f64 z z) z) (*.f64 1/6 (pow.f64 z 3))) |
(fma.f64 1/2 (*.f64 z z) (fma.f64 1/6 (pow.f64 z 3) z)) |
(+.f64 (*.f64 1/24 (pow.f64 z 4)) (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3))))) |
(fma.f64 1/24 (pow.f64 z 4) (+.f64 (fma.f64 1/2 (*.f64 z z) z) (*.f64 1/6 (pow.f64 z 3)))) |
(fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/2 (*.f64 z z) (fma.f64 1/6 (pow.f64 z 3) z))) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(neg.f64 (/.f64 y (/.f64 t z))) |
(/.f64 (neg.f64 y) (/.f64 t z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))))) |
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(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (/.f64 1 (/.f64 t -1)) (*.f64 (expm1.f64 z) y)) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) t) (cbrt.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 z)) t) y) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (/.f64 -1 t) (*.f64 (expm1.f64 z) y)) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (/.f64 -1 (/.f64 t 1)) (*.f64 (expm1.f64 z) y)) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (/.f64 -1 (/.f64 t (expm1.f64 z))) (neg.f64 y)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 (/.f64 -1 (/.f64 t (sqrt.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (/.f64 -1 (/.f64 t (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2))) (cbrt.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (/.f64 -1 (/.f64 t (neg.f64 (expm1.f64 z)))) y) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 (/.f64 -1 (/.f64 t -1)) (*.f64 (expm1.f64 z) y)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (neg.f64 (/.f64 1 t)) (*.f64 (expm1.f64 z) y)) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 t))) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)) (/.f64 -1 (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 (neg.f64 y) (sqrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2))) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (neg.f64 y) (cbrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (cbrt.f64 t)) (/.f64 (neg.f64 y) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (neg.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t))) (/.f64 (neg.f64 y) (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)) (/.f64 1 (sqrt.f64 t))) |
(/.f64 (*.f64 (expm1.f64 z) (/.f64 y (sqrt.f64 t))) (sqrt.f64 t)) |
(*.f64 (neg.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t))) (/.f64 y (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)) (/.f64 -1 (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 (neg.f64 y) (sqrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2))) (/.f64 (neg.f64 y) (cbrt.f64 t))) |
(/.f64 (*.f64 (/.f64 (expm1.f64 z) (/.f64 (cbrt.f64 t) y)) 1) (pow.f64 (cbrt.f64 t) 2)) |
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2))) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (neg.f64 y) (cbrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (cbrt.f64 t)) (/.f64 (neg.f64 y) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2))) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (neg.f64 y) (cbrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (cbrt.f64 t)) (/.f64 (neg.f64 y) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t))) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)) (/.f64 -1 (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 (neg.f64 y) (sqrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(neg.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 y (/.f64 (expm1.f64 z) t))) (pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 2)) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 2)) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) (sqrt.f64 t))) (/.f64 y (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)) (/.f64 1 (sqrt.f64 t))) |
(/.f64 (*.f64 (expm1.f64 z) (/.f64 y (sqrt.f64 t))) (sqrt.f64 t)) |
(*.f64 (neg.f64 (/.f64 y (sqrt.f64 t))) (/.f64 (expm1.f64 z) (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)) (/.f64 -1 (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 (neg.f64 y) (sqrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2))) (/.f64 y (cbrt.f64 t))) |
(/.f64 (*.f64 (/.f64 (expm1.f64 z) (/.f64 (cbrt.f64 t) y)) 1) (pow.f64 (cbrt.f64 t) 2)) |
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 t))) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)) (/.f64 1 (sqrt.f64 t))) |
(/.f64 (*.f64 (expm1.f64 z) (/.f64 y (sqrt.f64 t))) (sqrt.f64 t)) |
(*.f64 (neg.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2))) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t))) |
(/.f64 (*.f64 (/.f64 (expm1.f64 z) (/.f64 (cbrt.f64 t) y)) 1) (pow.f64 (cbrt.f64 t) 2)) |
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t))) |
(*.f64 (neg.f64 (/.f64 y 1)) (/.f64 (expm1.f64 z) t)) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(*.f64 (neg.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2))) (/.f64 (expm1.f64 z) (cbrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (neg.f64 y) (cbrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (cbrt.f64 t)) (/.f64 (neg.f64 y) (pow.f64 (cbrt.f64 t) 2))) |
(pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 3) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 1/3) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) -1) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(neg.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) |
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t)) |
(*.f64 y (/.f64 (expm1.f64 z) (neg.f64 t))) |
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 2)) |
(fabs.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) |
(log.f64 (exp.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) (pow.f64 t 3))) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (log1p.f64 (*.f64 (expm1.f64 z) y)) | |
| ✓ | 4.2b | (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
Compiled 35 to 14 computations (60% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
| 0.0ms | y | @ | -inf | (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
| 0.0ms | y | @ | inf | (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
| 0.0ms | y | @ | 0 | (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
| 0.0ms | t | @ | inf | (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
| 1× | batch-egg-rewrite |
| 1002× | *-commutative |
| 788× | unswap-sqr |
| 610× | swap-sqr |
| 604× | associate-/r* |
| 550× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 254 | 21 |
| 2 | 3061 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (sqrt.f64 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(expm1.f64 z) y)) t))))))) |
| 1× | egg-herbie |
| 1706× | associate-/r/ |
| 670× | unswap-sqr |
| 636× | distribute-lft-in |
| 632× | distribute-rgt-in |
| 628× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 345 | 5003 |
| 1 | 906 | 4845 |
| 2 | 3525 | 4845 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)))) |
(+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 z 4) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4))))))) t)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))))) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))) |
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))) |
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))))) |
(*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 1) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) -1) |
(/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))) |
(/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(/.f64 -1 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (/.f64 (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))) (/.f64 (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)))) |
(/.f64 (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 t)) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) t) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) t) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 t)) |
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1)) t) |
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t)) |
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1)) t) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 t)) |
(/.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(/.f64 (*.f64 -1 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t) |
(/.f64 (*.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1)) t) |
(/.f64 (*.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (*.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t)) |
(/.f64 (*.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1)) t) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) 1) (sqrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (sqrt.f64 -1)) (sqrt.f64 t)) |
(/.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (pow.f64 t -2))) 1) (cbrt.f64 t)) |
(/.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (pow.f64 t -2))) -1) (cbrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) 1) t) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) (pow.f64 t -1/2)) (sqrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) -1) t) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) 1) (cbrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) -1) (cbrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) 1) t) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) (pow.f64 t -1/2)) (sqrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) -1) t) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) -1) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) -1) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t) |
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (sqrt.f64 t)) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)) (cbrt.f64 t)) |
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) t) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) -1) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) 1) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) -1) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) 1) (sqrt.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (sqrt.f64 (sqrt.f64 t))) (sqrt.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (sqrt.f64 -1)) (sqrt.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (sqrt.f64 (pow.f64 (cbrt.f64 t) 2))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) 1) (cbrt.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) -1) (cbrt.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t)))) (cbrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) 1) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) -1) t) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) (/.f64 1 (pow.f64 t 3)))) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(neg.f64 (/.f64 y (/.f64 t z))) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
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(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) -1) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 t)) |
(/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 (cbrt.f64 (pow.f64 t -2)) -1)) (cbrt.f64 t)) |
(/.f64 (cbrt.f64 (pow.f64 t -2)) (/.f64 (cbrt.f64 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t -2))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 t)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) -1) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 t)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 t)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) -1) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) t) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (sqrt.f64 t)) |
(/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 t) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (/.f64 (sqrt.f64 t) (sqrt.f64 -1))) |
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (sqrt.f64 -1)) |
(/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 -1)) t) |
(/.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)) (cbrt.f64 t)) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (cbrt.f64 t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) |
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) t) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) -1) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) 1) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) -1) t) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) 1) (sqrt.f64 t)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (*.f64 (cbrt.f64 (sqrt.f64 t)) (cbrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 (sqrt.f64 t))) (sqrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (sqrt.f64 (sqrt.f64 t))) (sqrt.f64 (sqrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (sqrt.f64 -1)) (sqrt.f64 t)) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (*.f64 (sqrt.f64 t) (sqrt.f64 -1))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (sqrt.f64 -1)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (sqrt.f64 (pow.f64 (cbrt.f64 t) 2))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 t) 2)) (sqrt.f64 t))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 (*.f64 (fabs.f64 (cbrt.f64 t)) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) 1) (cbrt.f64 t)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) -1) (cbrt.f64 t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t)))) (cbrt.f64 (cbrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (sqrt.f64 t)) (cbrt.f64 (sqrt.f64 t)))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 (cbrt.f64 (sqrt.f64 t)) (*.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 (sqrt.f64 t))))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 t)) (cbrt.f64 (sqrt.f64 t))) (pow.f64 (cbrt.f64 t) 2))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (pow.f64 (cbrt.f64 t) 2))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) 1) t) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) -1) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 3) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) |
(fabs.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) (/.f64 1 (pow.f64 t 3)))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
Compiled 30200 to 12242 computations (59.5% saved)
35 alts after pruning (29 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1286 | 15 | 1301 |
| Fresh | 7 | 14 | 21 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 5 | 8 |
| Total | 1296 | 35 | 1331 |
| Status | Error | Program |
|---|---|---|
| 41.2b | (pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 2) | |
| 54.7b | (/.f64 (*.f64 z (neg.f64 y)) t) | |
| ▶ | 57.4b | (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
| 50.2b | (/.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 1 (expm1.f64 z))) y)) t) | |
| 50.2b | (/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t) | |
| ✓ | 44.6b | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 44.7b | (/.f64 (neg.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t) | |
| 51.3b | (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) | |
| 50.7b | (/.f64 (neg.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t) | |
| 54.6b | (/.f64 (neg.f64 y) (/.f64 t z)) | |
| ▶ | 10.8b | (/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
| 44.7b | (/.f64 -1 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) | |
| 56.1b | (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (/.f64 y (/.f64 t z))) | |
| 28.9b | (-.f64 x (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) -2)) | |
| 28.4b | (-.f64 x (pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) | |
| 17.2b | (-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y))) | |
| ✓ | 16.9b | (-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t)) |
| ✓ | 8.5b | (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
| 16.9b | (-.f64 x (/.f64 (*.f64 z y) t)) | |
| ✓ | 0.3b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 16.8b | (-.f64 x (/.f64 z (/.f64 t y))) | |
| 24.6b | (-.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 y (*.f64 y y))) (/.f64 (/.f64 t y) z)))) | |
| ▶ | 16.9b | (-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
| ▶ | 5.7b | (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
| 17.7b | (-.f64 x (-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 y t))) | |
| 19.2b | (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))) | |
| 17.5b | (-.f64 x (*.f64 (/.f64 (*.f64 y (pow.f64 t -1)) 1) z)) | |
| 17.5b | (-.f64 x (*.f64 (/.f64 1 (/.f64 t y)) z)) | |
| 17.2b | (-.f64 x (*.f64 y (*.f64 z (pow.f64 t -1)))) | |
| ✓ | 10.9b | (-.f64 x (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
| 19.7b | (+.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (+.f64 x (fma.f64 (/.f64 (neg.f64 y) t) z (*.f64 y (/.f64 z t))))) | |
| ▶ | 54.6b | (*.f64 (/.f64 z t) (neg.f64 y)) |
| ✓ | 44.7b | (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
| 57.4b | (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) | |
| 18.9b | x |
Compiled 909 to 632 computations (30.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)) |
| ✓ | 0.0b | (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
| ✓ | 0.8b | (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))) |
| ✓ | 3.8b | (/.f64 t (*.f64 (expm1.f64 z) y)) |
Compiled 61 to 25 computations (59% saved)
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | (/.f64 t (*.f64 (expm1.f64 z) y)) |
| 1.0ms | z | @ | 0 | (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))) |
| 1.0ms | t | @ | inf | (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))) |
| 1.0ms | z | @ | inf | (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))) |
| 1.0ms | t | @ | 0 | (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))) |
| 1× | batch-egg-rewrite |
| 1508× | associate-/l* |
| 878× | distribute-lft-in |
| 506× | associate-/r/ |
| 354× | add-sqr-sqrt |
| 344× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 122 |
| 1 | 341 | 110 |
| 2 | 4651 | 110 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 t (*.f64 (expm1.f64 z) y)) |
(/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1346× | associate-*r* |
| 1024× | associate-*l* |
| 972× | *-commutative |
| 760× | associate-/l* |
| 734× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 822 | 26483 |
| 1 | 2577 | 25845 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y z)) |
(+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) |
(+.f64 (*.f64 -1/2 (/.f64 t y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y))) z)) (/.f64 t (*.f64 y z)))) |
(+.f64 (*.f64 -1/2 (/.f64 t y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/24 (/.f64 t y)) (+.f64 (*.f64 -1/12 (/.f64 t y)) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y)))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y))) z)) (/.f64 t (*.f64 y z))))) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(/.f64 1 (*.f64 (+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
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(/.f64 (sqrt.f64 (neg.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) (/.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8))) (/.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8))) (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -1/2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y)))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4))) (/.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4))) (*.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -1/2) (sqrt.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) (/.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 2)) (/.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) -1/2) (sqrt.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 2)) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (neg.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (/.f64 1 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8)))) (/.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4)))) (/.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t)) (cbrt.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 2)))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) (/.f64 -1 (sqrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4))) (neg.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4))) (*.f64 1 (neg.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4))) (*.f64 -1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8))) (*.f64 -1 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3)) (*.f64 (*.f64 (pow.f64 t 3) 1/8) (*.f64 (pow.f64 t 3) 1/8))) (*.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))) (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8)))) |
(/.f64 (-.f64 (*.f64 (*.f64 t t) 1/4) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2)) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 t t) 1/4) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2)) (*.f64 1 (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2)) (*.f64 (*.f64 (*.f64 t t) 1/4) (*.f64 (*.f64 t t) 1/4))) (*.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t)) (+.f64 (*.f64 (*.f64 t t) 1/4) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) 3) (pow.f64 (*.f64 (pow.f64 t 3) 1/8) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))) (+.f64 (*.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 t 3) 1/8) (*.f64 (pow.f64 t 3) 1/8)) (*.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) 3) (pow.f64 (*.f64 (*.f64 t t) 1/4) 3)) (*.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t)) (+.f64 (*.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2)) (+.f64 (*.f64 (*.f64 (*.f64 t t) 1/4) (*.f64 (*.f64 t t) 1/4)) (*.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4)))))) |
(pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 3) |
(pow.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) 2)) |
(log.f64 (exp.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) |
(cbrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(exp.f64 (log.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) |
(fma.f64 t (/.f64 (/.f64 1 y) (expm1.f64 z)) (*.f64 t 1/2)) |
(fma.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)) |
(fma.f64 1 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))) |
(fma.f64 1/2 t (/.f64 t (*.f64 (expm1.f64 z) y))) |
(fma.f64 (sqrt.f64 (*.f64 t 1/2)) (sqrt.f64 (*.f64 t 1/2)) (/.f64 t (*.f64 (expm1.f64 z) y))) |
(fma.f64 (sqrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) (sqrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) (*.f64 t 1/2)) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/4)) (cbrt.f64 (*.f64 t 1/2)) (/.f64 t (*.f64 (expm1.f64 z) y))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) (*.f64 t 1/2)) |
| Outputs |
|---|
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 z y)) |
(/.f64 (/.f64 t z) y) |
(+.f64 (*.f64 -1/2 (/.f64 t y)) (/.f64 t (*.f64 y z))) |
(fma.f64 -1/2 (/.f64 t y) (/.f64 t (*.f64 z y))) |
(fma.f64 -1/2 (/.f64 t y) (/.f64 (/.f64 t z) y)) |
(+.f64 (*.f64 -1/2 (/.f64 t y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y))) z)) (/.f64 t (*.f64 y z)))) |
(fma.f64 -1/2 (/.f64 t y) (fma.f64 -1 (*.f64 z (*.f64 (/.f64 t y) -1/12)) (/.f64 t (*.f64 z y)))) |
(+.f64 (fma.f64 -1/2 (/.f64 t y) (/.f64 (/.f64 t z) y)) (*.f64 z (*.f64 1/12 (/.f64 t y)))) |
(+.f64 (*.f64 -1/2 (/.f64 t y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/24 (/.f64 t y)) (+.f64 (*.f64 -1/12 (/.f64 t y)) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y)))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 t y)) (*.f64 1/6 (/.f64 t y))) z)) (/.f64 t (*.f64 y z))))) |
(fma.f64 -1/2 (/.f64 t y) (fma.f64 -1 (*.f64 (*.f64 z z) (fma.f64 1/24 (/.f64 t y) (fma.f64 -1/2 (*.f64 (/.f64 t y) -1/12) (*.f64 (/.f64 t y) -1/12)))) (fma.f64 -1 (*.f64 z (*.f64 (/.f64 t y) -1/12)) (/.f64 t (*.f64 z y))))) |
(fma.f64 -1/2 (/.f64 t y) (fma.f64 -1 (*.f64 (*.f64 z z) (fma.f64 1/24 (/.f64 t y) (fma.f64 -1/12 (/.f64 t y) (*.f64 (/.f64 t y) 1/24)))) (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y)))))) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
(/.f64 (/.f64 t y) (expm1.f64 z)) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 y (expm1.f64 z))) |
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(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4))) (neg.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2) (*.f64 t (*.f64 t 1/4)))) (neg.f64 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t -1/2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2) (*.f64 t (*.f64 t 1/4)))) (neg.f64 (+.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (*.f64 t -1/2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4))) (*.f64 1 (neg.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2) (*.f64 t (*.f64 t 1/4)))) (neg.f64 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t -1/2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2) (*.f64 t (*.f64 t 1/4)))) (neg.f64 (+.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (*.f64 t -1/2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4))) (*.f64 -1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2) (*.f64 t (*.f64 t 1/4)))) (neg.f64 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t -1/2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2) (*.f64 t (*.f64 t 1/4)))) (neg.f64 (+.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (*.f64 t -1/2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 3) (*.f64 (pow.f64 t 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y (expm1.f64 z)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 3) (*.f64 (pow.f64 t 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2) (*.f64 1/2 (*.f64 t (-.f64 (*.f64 t 1/2) (/.f64 (/.f64 t y) (expm1.f64 z)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 3) (*.f64 (pow.f64 t 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y (expm1.f64 z)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 3) (*.f64 (pow.f64 t 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2) (*.f64 1/2 (*.f64 t (-.f64 (*.f64 t 1/2) (/.f64 (/.f64 t y) (expm1.f64 z)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8))) (*.f64 -1 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 3) (*.f64 (pow.f64 t 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y (expm1.f64 z)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 3) (*.f64 (pow.f64 t 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2) (*.f64 1/2 (*.f64 t (-.f64 (*.f64 t 1/2) (/.f64 (/.f64 t y) (expm1.f64 z)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3)) (*.f64 (*.f64 (pow.f64 t 3) 1/8) (*.f64 (pow.f64 t 3) 1/8))) (*.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))) (-.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 6) (*.f64 (*.f64 (pow.f64 t 3) (pow.f64 t 3)) 1/64)) (*.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y (expm1.f64 z)))))) (-.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 3) (*.f64 (pow.f64 t 3) 1/8)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 6) (*.f64 (pow.f64 t 3) (*.f64 1/64 (pow.f64 t 3)))) (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2) (*.f64 1/2 (*.f64 t (-.f64 (*.f64 t 1/2) (/.f64 (/.f64 t y) (expm1.f64 z)))))) (-.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 3) (*.f64 (pow.f64 t 3) 1/8)))) |
(/.f64 (-.f64 (*.f64 (*.f64 t t) 1/4) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2)) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y)))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t 1/4)) (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2)) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y (expm1.f64 z))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t 1/4)) (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2)) (-.f64 (*.f64 t 1/2) (/.f64 (/.f64 t y) (expm1.f64 z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 t t) 1/4) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2)) (*.f64 1 (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t 1/4)) (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2)) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y (expm1.f64 z))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t 1/4)) (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2)) (-.f64 (*.f64 t 1/2) (/.f64 (/.f64 t y) (expm1.f64 z)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2)) (*.f64 (*.f64 (*.f64 t t) 1/4) (*.f64 (*.f64 t t) 1/4))) (*.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t)) (+.f64 (*.f64 (*.f64 t t) 1/4) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 4) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) 1/16)) (*.f64 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t -1/2)) (fma.f64 (*.f64 t t) 1/4 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 4) (*.f64 (*.f64 t (pow.f64 t 3)) 1/16)) (*.f64 (+.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (*.f64 t -1/2)) (fma.f64 (*.f64 t t) 1/4 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) 3) (pow.f64 (*.f64 (pow.f64 t 3) 1/8) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))))) (+.f64 (*.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 t 3) 1/8) (*.f64 (pow.f64 t 3) 1/8)) (*.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 3) (*.f64 (pow.f64 t 3) 1/8)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 3) 3) (*.f64 (pow.f64 (pow.f64 t 3) 3) 1/512)) (*.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2) (*.f64 (*.f64 t 1/2) (-.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y (expm1.f64 z)))))) (+.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 6) (*.f64 (*.f64 (pow.f64 t 3) 1/8) (-.f64 (*.f64 (pow.f64 t 3) 1/8) (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 3)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 3) 3) (*.f64 (pow.f64 (pow.f64 t 3) 3) 1/512)) (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2) (*.f64 1/2 (*.f64 t (-.f64 (*.f64 t 1/2) (/.f64 (/.f64 t y) (expm1.f64 z)))))) (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 6) (*.f64 (pow.f64 t 3) (*.f64 1/8 (-.f64 (*.f64 (pow.f64 t 3) 1/8) (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 3))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) 3) (pow.f64 (*.f64 (*.f64 t t) 1/4) 3)) (*.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 -1/2 t)) (+.f64 (*.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2)) (+.f64 (*.f64 (*.f64 (*.f64 t t) 1/4) (*.f64 (*.f64 t t) 1/4)) (*.f64 (pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) 2) (*.f64 (*.f64 t t) 1/4)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2) 3) (*.f64 (pow.f64 (*.f64 t t) 3) 1/64)) (*.f64 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t -1/2)) (+.f64 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 4) (*.f64 (*.f64 t (*.f64 t 1/4)) (fma.f64 (*.f64 t t) 1/4 (pow.f64 (/.f64 t (*.f64 y (expm1.f64 z))) 2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 6) (*.f64 1/64 (pow.f64 (*.f64 t t) 3))) (+.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (*.f64 t -1/2))) (+.f64 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 4) (*.f64 t (*.f64 (*.f64 t 1/4) (fma.f64 (*.f64 t t) 1/4 (pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) 2)))))) |
(pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) 1) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(pow.f64 (sqrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 2) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(pow.f64 (cbrt.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 3) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(pow.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) 3) 1/3) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(sqrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 y (expm1.f64 z)))) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) 2)) |
(log.f64 (exp.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))))) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(cbrt.f64 (pow.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) 3)) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(expm1.f64 (log1p.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(exp.f64 (log.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y)))) 1)) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(log1p.f64 (expm1.f64 (fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))))) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(fma.f64 t 1/2 (/.f64 t (*.f64 (expm1.f64 z) y))) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(fma.f64 t (/.f64 (/.f64 1 y) (expm1.f64 z)) (*.f64 t 1/2)) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(fma.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(fma.f64 1 (*.f64 t 1/2) (/.f64 t (*.f64 (expm1.f64 z) y))) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(fma.f64 1/2 t (/.f64 t (*.f64 (expm1.f64 z) y))) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(fma.f64 (sqrt.f64 (*.f64 t 1/2)) (sqrt.f64 (*.f64 t 1/2)) (/.f64 t (*.f64 (expm1.f64 z) y))) |
(fma.f64 (sqrt.f64 (*.f64 t 1/2)) (sqrt.f64 (*.f64 t 1/2)) (/.f64 t (*.f64 y (expm1.f64 z)))) |
(fma.f64 (sqrt.f64 (*.f64 t 1/2)) (sqrt.f64 (*.f64 t 1/2)) (/.f64 (/.f64 t y) (expm1.f64 z))) |
(fma.f64 (sqrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) (sqrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) (*.f64 t 1/2)) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/4)) (cbrt.f64 (*.f64 t 1/2)) (/.f64 t (*.f64 (expm1.f64 z) y))) |
(fma.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/4))) (cbrt.f64 (*.f64 t 1/2)) (/.f64 t (*.f64 y (expm1.f64 z)))) |
(fma.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/4))) (cbrt.f64 (*.f64 t 1/2)) (/.f64 (/.f64 t y) (expm1.f64 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (/.f64 t (*.f64 (expm1.f64 z) y))) (*.f64 t 1/2)) |
(*.f64 t (+.f64 1/2 (/.f64 (/.f64 1 y) (expm1.f64 z)))) |
(fma.f64 t 1/2 (/.f64 (/.f64 t y) (expm1.f64 z))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.3b | (*.f64 (/.f64 z t) (neg.f64 y)) |
Compiled 18 to 7 computations (61.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 z t) (neg.f64 y)) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 z t) (neg.f64 y)) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 z t) (neg.f64 y)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 z t) (neg.f64 y)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 z t) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 1790× | add-sqr-sqrt |
| 1778× | *-un-lft-identity |
| 1650× | add-cube-cbrt |
| 1624× | add-cbrt-cube |
| 192× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 188 | 13 |
| 2 | 2530 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 z t) (neg.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 z t) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z t) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) y) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z t) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 z t) y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z t) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z t) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z t) y))))))) |
| 1× | egg-herbie |
| 1124× | associate-*r* |
| 1102× | associate-*l* |
| 730× | associate-+r+ |
| 676× | associate-+l+ |
| 564× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 949 |
| 1 | 153 | 949 |
| 2 | 625 | 949 |
| 3 | 4479 | 949 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(-.f64 0 (*.f64 (/.f64 z t) y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z t) y))) 1) |
(/.f64 z (/.f64 t y)) |
(/.f64 y (/.f64 t z)) |
(/.f64 1 (/.f64 t (*.f64 z y))) |
(/.f64 (*.f64 z y) t) |
(/.f64 (*.f64 z y) (neg.f64 t)) |
(/.f64 (*.f64 y (neg.f64 z)) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 t)) |
(/.f64 (/.f64 (*.f64 z y) 1) t) |
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(pow.f64 (*.f64 (/.f64 z t) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 z t) y)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z t))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z t) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z t) y))) |
(exp.f64 (log.f64 (*.f64 (/.f64 z t) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z t) y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z t) y))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(-.f64 0 (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z t) y))) 1) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(/.f64 z (/.f64 t y)) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(/.f64 y (/.f64 t z)) |
(*.f64 y (/.f64 z t)) |
(/.f64 1 (/.f64 t (*.f64 z y))) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(/.f64 (*.f64 z y) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(/.f64 (*.f64 z y) (neg.f64 t)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(/.f64 (*.f64 y (neg.f64 z)) (neg.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(/.f64 (/.f64 (*.f64 z y) 1) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(pow.f64 (*.f64 (/.f64 z t) y) 1) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 2) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 3) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1/3) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(neg.f64 (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(/.f64 z (/.f64 (neg.f64 t) y)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2)) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z t))) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z t) y)))) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3)) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z t) y))) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(exp.f64 (log.f64 (*.f64 (/.f64 z t) y))) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z t) y)) 1)) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z t) y))) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
| ✓ | 0.9b | (/.f64 1 (/.f64 t (*.f64 z y))) |
| ✓ | 4.3b | (/.f64 t (*.f64 z y)) |
Compiled 33 to 12 computations (63.6% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/.f64 t (*.f64 z y)) |
| 0.0ms | t | @ | -inf | (/.f64 t (*.f64 z y)) |
| 0.0ms | y | @ | 0 | (/.f64 t (*.f64 z y)) |
| 0.0ms | t | @ | inf | (/.f64 t (*.f64 z y)) |
| 0.0ms | z | @ | 0 | (/.f64 t (*.f64 z y)) |
| 1× | batch-egg-rewrite |
| 1510× | associate-/l* |
| 820× | swap-sqr |
| 574× | associate-/r/ |
| 482× | distribute-rgt-in |
| 468× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 57 |
| 1 | 237 | 45 |
| 2 | 3294 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 t (*.f64 z y)) |
(/.f64 1 (/.f64 t (*.f64 z y))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
| Outputs |
|---|
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(/.f64 z t) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y))))))) |
| 1× | egg-herbie |
| 1028× | associate-+r+ |
| 758× | associate-*r* |
| 658× | associate-*l* |
| 656× | +-commutative |
| 612× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 546 | 9444 |
| 1 | 1512 | 9084 |
| 2 | 7299 | 9084 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 t (*.f64 y z)) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 t (*.f64 z y)))) 1) |
(*.f64 t (/.f64 1 (*.f64 z y))) |
(*.f64 t (neg.f64 (/.f64 -1 (*.f64 z y)))) |
(*.f64 (/.f64 t (*.f64 z y)) 1) |
(*.f64 1 (/.f64 t (*.f64 z y))) |
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 1 (*.f64 z y)))) |
(*.f64 (sqrt.f64 (/.f64 t (*.f64 z y))) (sqrt.f64 (/.f64 t (*.f64 z y)))) |
(*.f64 (sqrt.f64 (/.f64 t (*.f64 z y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 t (*.f64 z y)))))) |
(*.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (/.f64 1 (*.f64 z y)))) |
(*.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2) (cbrt.f64 (/.f64 t (*.f64 z y)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 t (*.f64 z y)))))) |
(*.f64 (/.f64 t z) (/.f64 1 y)) |
(*.f64 (/.f64 1 (*.f64 z y)) t) |
(*.f64 -1 (/.f64 t (*.f64 z (neg.f64 y)))) |
(*.f64 (neg.f64 t) (/.f64 -1 (*.f64 z y))) |
(*.f64 (sqrt.f64 (/.f64 t (*.f64 z (neg.f64 y)))) (neg.f64 (sqrt.f64 (/.f64 t (*.f64 z (neg.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 t (*.f64 z (neg.f64 y)))) (cbrt.f64 (/.f64 t (*.f64 z (neg.f64 y))))) (neg.f64 (cbrt.f64 (/.f64 t (*.f64 z (neg.f64 y)))))) |
(*.f64 (/.f64 1 z) (/.f64 t y)) |
(*.f64 (/.f64 1 y) (/.f64 t z)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 z y))) (/.f64 t (sqrt.f64 (*.f64 z y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 z y)) 2)) (/.f64 t (cbrt.f64 (*.f64 z y)))) |
(*.f64 (/.f64 t 1) (/.f64 1 (*.f64 z y))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 t (*.f64 z y)))) (neg.f64 (sqrt.f64 (/.f64 t (*.f64 z y))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2)) (neg.f64 (cbrt.f64 (/.f64 t (*.f64 z y))))) |
(*.f64 (/.f64 -1 (*.f64 z y)) (neg.f64 t)) |
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (*.f64 z y))) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) (sqrt.f64 t)) |
(*.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (*.f64 z y)) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (*.f64 z y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) z) (/.f64 (cbrt.f64 t) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) y) (/.f64 (cbrt.f64 t) z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (*.f64 z y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (*.f64 z y))) (/.f64 (cbrt.f64 t) (sqrt.f64 (*.f64 z y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (*.f64 z y)) 2)) (cbrt.f64 (/.f64 t (*.f64 z y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 z y)) (cbrt.f64 t)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t)) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2))) (cbrt.f64 (/.f64 t (*.f64 z y)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 t (*.f64 z y))) 1) (sqrt.f64 (/.f64 t (*.f64 z y)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 t (*.f64 z y))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 t (*.f64 z (neg.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2) 1) (cbrt.f64 (/.f64 t (*.f64 z y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2) -1) (cbrt.f64 (/.f64 t (*.f64 z (neg.f64 y))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 t (*.f64 z (neg.f64 y))))) (sqrt.f64 (/.f64 t (*.f64 z (neg.f64 y))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 t (*.f64 z (neg.f64 y)))) (cbrt.f64 (/.f64 t (*.f64 z (neg.f64 y)))))) (cbrt.f64 (/.f64 t (*.f64 z (neg.f64 y))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 t (*.f64 z y))))) (sqrt.f64 (/.f64 t (*.f64 z y)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2))) (cbrt.f64 (/.f64 t (*.f64 z y)))) |
(pow.f64 (/.f64 t (*.f64 z y)) 1) |
(pow.f64 (*.f64 (/.f64 z t) y) -1) |
(pow.f64 (sqrt.f64 (/.f64 t (*.f64 z y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 3) |
(pow.f64 (pow.f64 (/.f64 t (*.f64 z y)) 3) 1/3) |
(neg.f64 (/.f64 t (*.f64 z (neg.f64 y)))) |
(sqrt.f64 (pow.f64 (/.f64 t (*.f64 z y)) 2)) |
(log.f64 (exp.f64 (/.f64 t (*.f64 z y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 t (*.f64 z y))))) |
(cbrt.f64 (pow.f64 (/.f64 t (*.f64 z y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (*.f64 z y) 3))) |
(expm1.f64 (log1p.f64 (/.f64 t (*.f64 z y)))) |
(exp.f64 (log.f64 (/.f64 t (*.f64 z y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 z y))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 t (*.f64 z y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z t) y))) 1) |
(*.f64 (*.f64 z y) (/.f64 1 t)) |
(*.f64 1 (*.f64 (/.f64 z t) y)) |
(*.f64 (*.f64 (/.f64 z t) y) 1) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) (sqrt.f64 (*.f64 (/.f64 z t) y))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (cbrt.f64 (*.f64 (/.f64 z t) y))) |
(*.f64 (/.f64 1 t) (*.f64 z y)) |
(*.f64 (/.f64 1 t) (pow.f64 (/.f64 1 (*.f64 z y)) -1)) |
(*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) -1) |
(*.f64 -1 (*.f64 (/.f64 z t) (neg.f64 y))) |
(*.f64 (*.f64 (/.f64 1 t) y) z) |
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(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 z y)) -2))) (/.f64 (+.f64 (*.f64 (/.f64 z t) y) x) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 z y)) -2))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 z y)) -3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 z y)) -3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 z y)) -2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 z y)) -2)))) (/.f64 (+.f64 (*.f64 (/.f64 z t) y) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 z y)) -2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 z y)) -3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 z y)) -3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 z y)) -3))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 t (*.f64 z y)) -3) (pow.f64 (/.f64 t (*.f64 z y)) -3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 z y)) -3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (/.f64 t (*.f64 z y)) -3) (*.f64 (/.f64 z t) y))) (*.f64 (+.f64 (*.f64 (/.f64 z t) y) x) (+.f64 (pow.f64 (/.f64 t (*.f64 z y)) -2) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (*.f64 z y)) -3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 t (*.f64 z y)) -3) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 z y)) -3)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 t (*.f64 z y)) -2) 3)) (*.f64 (+.f64 (*.f64 (/.f64 z t) y) x) (+.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (/.f64 t (*.f64 z y)) -2) (+.f64 (pow.f64 (/.f64 t (*.f64 z y)) -2) (*.f64 x x)))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (/.f64 t (*.f64 z y)) -2)) (neg.f64 (+.f64 (*.f64 (/.f64 z t) y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 z y)) -3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))))) |
(pow.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 z t) y))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z t) y))) 3) |
(pow.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 z y)) -2)) (neg.f64 (+.f64 (*.f64 (/.f64 z t) y) x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 z y)) -3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x)))))) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 2)) |
(log.f64 (exp.f64 (-.f64 x (*.f64 (/.f64 z t) y)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (/.f64 z t) y))))) |
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 z t) y)))) |
(exp.f64 (log.f64 (-.f64 x (*.f64 (/.f64 z t) y)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (/.f64 z t) y))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 z t) y)))) |
(fma.f64 1 x (*.f64 (/.f64 z t) (neg.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y))) |
| Outputs |
|---|
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(*.f64 (neg.f64 y) (/.f64 z t)) |
(*.f64 y (/.f64 (neg.f64 z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 t (*.f64 z y)))) 1) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 t (/.f64 1 (*.f64 z y))) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 t (neg.f64 (/.f64 -1 (*.f64 z y)))) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 (/.f64 t (*.f64 z y)) 1) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 1 (/.f64 t (*.f64 z y))) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 1 (*.f64 z y)))) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 (sqrt.f64 (/.f64 t (*.f64 z y))) (sqrt.f64 (/.f64 t (*.f64 z y)))) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 (sqrt.f64 (/.f64 t (*.f64 z y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 t (*.f64 z y)))))) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (/.f64 1 (*.f64 z y)))) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2) (cbrt.f64 (/.f64 t (*.f64 z y)))) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t (*.f64 z y))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 t (*.f64 z y)))))) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 (/.f64 t z) (/.f64 1 y)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 (/.f64 1 (*.f64 z y)) t) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 -1 (/.f64 t (*.f64 z (neg.f64 y)))) |
(/.f64 (neg.f64 t) (*.f64 z (neg.f64 y))) |
(/.f64 (neg.f64 t) (*.f64 y (neg.f64 z))) |
(*.f64 (neg.f64 t) (/.f64 -1 (*.f64 z y))) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 (sqrt.f64 (/.f64 t (*.f64 z (neg.f64 y)))) (neg.f64 (sqrt.f64 (/.f64 t (*.f64 z (neg.f64 y)))))) |
(/.f64 (neg.f64 t) (*.f64 z (neg.f64 y))) |
(/.f64 (neg.f64 t) (*.f64 y (neg.f64 z))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 t (*.f64 z (neg.f64 y)))) (cbrt.f64 (/.f64 t (*.f64 z (neg.f64 y))))) (neg.f64 (cbrt.f64 (/.f64 t (*.f64 z (neg.f64 y)))))) |
(/.f64 (neg.f64 t) (*.f64 z (neg.f64 y))) |
(/.f64 (neg.f64 t) (*.f64 y (neg.f64 z))) |
(*.f64 (/.f64 1 z) (/.f64 t y)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
(*.f64 (/.f64 1 y) (/.f64 t z)) |
(/.f64 (/.f64 t z) y) |
(/.f64 t (*.f64 y z)) |
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(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 t (*.f64 y z)) -6)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 z (/.f64 y t) x))))) (+.f64 (pow.f64 (/.f64 t (*.f64 y z)) -3) (pow.f64 x 3))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (/.f64 t (*.f64 z y)) -3) (*.f64 (/.f64 z t) y))) (*.f64 (+.f64 (*.f64 (/.f64 z t) y) x) (+.f64 (pow.f64 (/.f64 t (*.f64 z y)) -2) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 z (/.f64 y t)) (pow.f64 (/.f64 (/.f64 t z) y) -3))) (*.f64 (fma.f64 (/.f64 z t) y x) (+.f64 (pow.f64 (/.f64 (/.f64 t z) y) -2) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 z (/.f64 y t)) (pow.f64 (/.f64 t (*.f64 y z)) -3))) (*.f64 (fma.f64 z (/.f64 y t) x) (fma.f64 x x (pow.f64 (*.f64 z (/.f64 y t)) 2)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z t) (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 z t) (neg.f64 y)) (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (neg.f64 y) (/.f64 z t)) 3)) (fma.f64 x x (*.f64 (/.f64 z t) (*.f64 (neg.f64 y) (neg.f64 (fma.f64 (/.f64 z t) y x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (*.f64 z (/.f64 y t)) 3))) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 z (/.f64 y t) x))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (*.f64 z y)) -3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 t (*.f64 z y)) -3) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 z y)) -3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (/.f64 t z) y) -3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 z t) y x))) (+.f64 (pow.f64 x 6) (+.f64 (*.f64 (pow.f64 (/.f64 (/.f64 t z) y) -3) (pow.f64 x 3)) (pow.f64 (/.f64 (/.f64 t z) y) -6))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 t (*.f64 y z)) -3) 3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 z (/.f64 y t) x))))) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 (/.f64 t (*.f64 y z)) -3) (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 y z)) -6)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 t (*.f64 z y)) -2) 3)) (*.f64 (+.f64 (*.f64 (/.f64 z t) y) x) (+.f64 (*.f64 (pow.f64 x 3) x) (*.f64 (pow.f64 (/.f64 t (*.f64 z y)) -2) (+.f64 (pow.f64 (/.f64 t (*.f64 z y)) -2) (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (/.f64 (/.f64 t z) y) -2) 3)) (*.f64 (fma.f64 (/.f64 z t) y x) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (/.f64 (/.f64 t z) y) -2) (+.f64 (pow.f64 (/.f64 (/.f64 t z) y) -2) (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) 3)) (*.f64 (fma.f64 z (/.f64 y t) x) (fma.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (fma.f64 x x (pow.f64 (*.f64 z (/.f64 y t)) 2)) (pow.f64 x 4)))) |
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (/.f64 t (*.f64 z y)) -2)) (neg.f64 (+.f64 (*.f64 (/.f64 z t) y) x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t z) y) -2) (*.f64 x (neg.f64 x))) (neg.f64 (fma.f64 (/.f64 z t) y x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x x)) (neg.f64 (fma.f64 z (/.f64 y t) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 z y)) -3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (/.f64 t z) y) -3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 z t) y x))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 y z)) -3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 z (/.f64 y t) x)))))) |
(pow.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 1) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 z t) y))) 2) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z t) y))) 3) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(pow.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 3) 1/3) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 z y)) -2)) (neg.f64 (+.f64 (*.f64 (/.f64 z t) y) x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t z) y) -2) (*.f64 x (neg.f64 x))) (neg.f64 (fma.f64 (/.f64 z t) y x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 y t)) 2) (*.f64 x x)) (neg.f64 (fma.f64 z (/.f64 y t) x))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 z y)) -3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z t) y) (+.f64 (*.f64 (/.f64 z t) y) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (/.f64 t z) y) -3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 z t) y x))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 t (*.f64 y z)) -3)) (fma.f64 x x (*.f64 y (*.f64 (/.f64 z t) (fma.f64 z (/.f64 y t) x)))))) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 2)) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (/.f64 y t))) 2)) |
(fabs.f64 (-.f64 x (*.f64 z (/.f64 y t)))) |
(log.f64 (exp.f64 (-.f64 x (*.f64 (/.f64 z t) y)))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (/.f64 z t) y))))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z t) y)) 3)) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 z t) y)))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(exp.f64 (log.f64 (-.f64 x (*.f64 (/.f64 z t) y)))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (/.f64 z t) y))) 1)) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 z t) y)))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(fma.f64 1 x (*.f64 (/.f64 z t) (neg.f64 y))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 z t) (neg.f64 y))) |
(-.f64 x (*.f64 z (/.f64 y t))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
| ✓ | 5.2b | (-.f64 1 (exp.f64 z)) |
Compiled 28 to 15 computations (46.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
| 1.0ms | z | @ | -inf | (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
| 1.0ms | z | @ | inf | (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
| 0.0ms | t | @ | 0 | (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
| 1× | batch-egg-rewrite |
| 1402× | associate-/r* |
| 1400× | associate-*r/ |
| 1258× | associate-/l* |
| 1086× | *-commutative |
| 1036× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 1 | 224 | 34 |
| 2 | 2939 | 34 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 z)) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))))))) |
| 1× | egg-herbie |
| 1500× | associate-/r/ |
| 1238× | unswap-sqr |
| 506× | associate-/l* |
| 440× | associate-*r* |
| 426× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 4707 |
| 1 | 821 | 4569 |
| 2 | 3683 | 4567 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (pow.f64 z 2))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 -1/24 (pow.f64 z 4))))) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))) |
(+.f64 1 (neg.f64 (exp.f64 z))) |
(+.f64 (neg.f64 (exp.f64 z)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (exp.f64 z))) 1) |
(*.f64 1 (-.f64 1 (exp.f64 z))) |
(*.f64 (-.f64 1 (exp.f64 z)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (sqrt.f64 (-.f64 1 (exp.f64 z)))) |
(*.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2)) (cbrt.f64 (-.f64 1 (exp.f64 z)))) |
(*.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (/.f64 1 (+.f64 1 (exp.f64 z)))) |
(*.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 z))) (-.f64 1 (pow.f64 (exp.f64 z) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))) (-.f64 1 (pow.f64 (exp.f64 z) 3))) |
(/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 z)))) |
(/.f64 (-.f64 1 (exp.f64 z)) 1) |
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (/.f64 1 (sqrt.f64 (-.f64 1 (exp.f64 z))))) |
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 z))))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (+.f64 1 (exp.f64 z))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 z))))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2))) (/.f64 (+.f64 1 (exp.f64 z)) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)))) (/.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)))) (/.f64 (+.f64 1 (exp.f64 z)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 z)))) (+.f64 1 (exp.f64 z))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (exp.f64 z)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 z))) (neg.f64 (exp.f64 z))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2))) (neg.f64 (+.f64 1 (exp.f64 z)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3))) (neg.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 z))))) (+.f64 1 (exp.f64 z))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (exp.f64 z)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 z))) (neg.f64 (exp.f64 z))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)))) (neg.f64 (+.f64 1 (exp.f64 z)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)))) (neg.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)))) (sqrt.f64 (+.f64 1 (exp.f64 z)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)))) (cbrt.f64 (+.f64 1 (exp.f64 z)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 z)))) 1) (+.f64 1 (exp.f64 z))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (exp.f64 z)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 z))) (neg.f64 (exp.f64 z))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2))) 1) (neg.f64 (+.f64 1 (exp.f64 z)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (-.f64 1 (exp.f64 z)))) (sqrt.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2))) (sqrt.f64 (-.f64 1 (exp.f64 z)))) (sqrt.f64 (+.f64 1 (exp.f64 z)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2))) (cbrt.f64 (+.f64 1 (exp.f64 z)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2))) (/.f64 1 (+.f64 1 (exp.f64 z)))) (+.f64 1 (pow.f64 (exp.f64 z) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 z) 2) 3)) (/.f64 1 (+.f64 1 (exp.f64 z)))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3))) (/.f64 1 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) (+.f64 1 (pow.f64 (exp.f64 z) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 z) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) 1) (+.f64 1 (exp.f64 z))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (sqrt.f64 (+.f64 1 (exp.f64 z)))) (sqrt.f64 (+.f64 1 (exp.f64 z)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 z))) (cbrt.f64 (+.f64 1 (exp.f64 z))))) (cbrt.f64 (+.f64 1 (exp.f64 z)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) 1) (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) (sqrt.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))) (cbrt.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))))) (cbrt.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) |
(pow.f64 (-.f64 1 (exp.f64 z)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (exp.f64 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (exp.f64 z))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 3)) |
(expm1.f64 (log.f64 (-.f64 2 (exp.f64 z)))) |
(exp.f64 (log1p.f64 (neg.f64 (exp.f64 z)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (exp.f64 z)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) 1) |
(*.f64 1 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) (/.f64 1 t)) |
(*.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) 1) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (cbrt.f64 (*.f64 t t)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) 2) (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t)) |
(*.f64 (/.f64 1 t) (*.f64 (-.f64 1 (exp.f64 z)) y)) |
(*.f64 (*.f64 (-.f64 1 (exp.f64 z)) (neg.f64 y)) (/.f64 -1 t)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t) (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) 1)) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) y)) (/.f64 1 (sqrt.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 t t))) (/.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) (cbrt.f64 t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (/.f64 y 1)) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 t)) (/.f64 y (cbrt.f64 (*.f64 t t)))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) (cbrt.f64 t)) (/.f64 1 (cbrt.f64 (*.f64 t t)))) |
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))) |
(*.f64 (/.f64 -1 t) (*.f64 (-.f64 1 (exp.f64 z)) (neg.f64 y))) |
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (-.f64 1 (exp.f64 z)) (sqrt.f64 t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 y (cbrt.f64 t)) (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 (*.f64 t t)))) |
(*.f64 (/.f64 y 1) (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (/.f64 y (cbrt.f64 (*.f64 t t))) (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (cbrt.f64 (*.f64 t t))) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (cbrt.f64 t)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (cbrt.f64 (*.f64 t t)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (cbrt.f64 (*.f64 t t))) (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(pow.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) 3) 1/3) |
(pow.f64 (/.f64 t (*.f64 (-.f64 1 (exp.f64 z)) y)) -1) |
(neg.f64 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (neg.f64 t) y))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) 2)) |
(log.f64 (exp.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
| Outputs |
|---|
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (pow.f64 z 2))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 z z))) |
(-.f64 (*.f64 z (*.f64 z -1/2)) z) |
(*.f64 z (+.f64 -1 (*.f64 -1/2 z))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))) |
(fma.f64 -1 z (fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3)))) |
(-.f64 (fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3))) z) |
(-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 -1/24 (pow.f64 z 4))))) |
(fma.f64 -1 z (fma.f64 -1/2 (*.f64 z z) (fma.f64 -1/6 (pow.f64 z 3) (*.f64 -1/24 (pow.f64 z 4))))) |
(-.f64 (fma.f64 -1/2 (*.f64 z z) (fma.f64 -1/6 (pow.f64 z 3) (*.f64 -1/24 (pow.f64 z 4)))) z) |
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(neg.f64 (/.f64 y (/.f64 t z))) |
(/.f64 (neg.f64 y) (/.f64 t z)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 -1/2 (*.f64 (*.f64 z z) y)) t)) |
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z))) (*.f64 (/.f64 y t) z)) |
(-.f64 (*.f64 (/.f64 (*.f64 -1/2 y) t) (*.f64 z z)) (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)))) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3)))))) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 (*.f64 (*.f64 -1/6 y) (pow.f64 z 3)) t)) (*.f64 (/.f64 y t) z)) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 z (/.f64 t y)) z) (*.f64 (/.f64 -1/6 t) (*.f64 (pow.f64 z 3) y))) (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t))))) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (*.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))))))) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (*.f64 -1/24 (*.f64 (/.f64 y t) (pow.f64 z 4))))) (*.f64 (/.f64 y t) z)) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 z (/.f64 t y)) z) (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (*.f64 -1/24 (*.f64 (/.f64 y t) (pow.f64 z 4))))) (/.f64 z (/.f64 t y))) |
(+.f64 1 (neg.f64 (exp.f64 z))) |
(-.f64 1 (exp.f64 z)) |
(+.f64 (neg.f64 (exp.f64 z)) 1) |
(-.f64 1 (exp.f64 z)) |
(+.f64 (-.f64 1 (+.f64 1 (exp.f64 z))) 1) |
(-.f64 1 (exp.f64 z)) |
(*.f64 1 (-.f64 1 (exp.f64 z))) |
(-.f64 1 (exp.f64 z)) |
(*.f64 (-.f64 1 (exp.f64 z)) 1) |
(-.f64 1 (exp.f64 z)) |
(*.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (sqrt.f64 (-.f64 1 (exp.f64 z)))) |
(-.f64 1 (exp.f64 z)) |
(*.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2)) (cbrt.f64 (-.f64 1 (exp.f64 z)))) |
(*.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2))) |
(*.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (/.f64 1 (+.f64 1 (exp.f64 z)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (+.f64 1 (exp.f64 z))) |
(*.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 1 (+.f64 (exp.f64 z) (pow.f64 (exp.f64 z) 2)))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 z))) (-.f64 1 (pow.f64 (exp.f64 z) 2))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (+.f64 1 (exp.f64 z))) |
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))) (-.f64 1 (pow.f64 (exp.f64 z) 3))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 1 (+.f64 (exp.f64 z) (pow.f64 (exp.f64 z) 2)))) |
(/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 z)))) |
(-.f64 1 (exp.f64 z)) |
(/.f64 (-.f64 1 (exp.f64 z)) 1) |
(-.f64 1 (exp.f64 z)) |
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (/.f64 1 (sqrt.f64 (-.f64 1 (exp.f64 z))))) |
(-.f64 1 (exp.f64 z)) |
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2)))) |
(*.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 z))))) |
(*.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (+.f64 1 (exp.f64 z))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 z))))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 2)) (+.f64 1 (exp.f64 z))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 1 (+.f64 (exp.f64 z) (pow.f64 (exp.f64 z) 2)))) |
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))) (cbrt.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))))) (cbrt.f64 (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z))))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 1 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 1 (+.f64 (exp.f64 z) (pow.f64 (exp.f64 z) 2)))) |
(pow.f64 (-.f64 1 (exp.f64 z)) 1) |
(-.f64 1 (exp.f64 z)) |
(pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) 2) |
(-.f64 1 (exp.f64 z)) |
(pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 3) |
(-.f64 1 (exp.f64 z)) |
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 3) 1/3) |
(-.f64 1 (exp.f64 z)) |
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 2)) |
(fabs.f64 (-.f64 1 (exp.f64 z))) |
(log.f64 (exp.f64 (-.f64 1 (exp.f64 z)))) |
(-.f64 1 (exp.f64 z)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (exp.f64 z))))) |
(-.f64 1 (exp.f64 z)) |
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 z)) 3)) |
(-.f64 1 (exp.f64 z)) |
(expm1.f64 (log.f64 (-.f64 2 (exp.f64 z)))) |
(exp.f64 (log1p.f64 (neg.f64 (exp.f64 z)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (exp.f64 z)))) |
(-.f64 1 (exp.f64 z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) 1) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 1 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) (/.f64 1 t)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) 1) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) 2)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (cbrt.f64 (*.f64 t t)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (exp.f64 z)))) 2)) (cbrt.f64 (*.f64 t t))) |
(/.f64 (cbrt.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))) (/.f64 (cbrt.f64 (*.f64 t t)) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (exp.f64 z)))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) (cbrt.f64 (*.f64 t t))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (exp.f64 z)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) 2) (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 1 t) (*.f64 (-.f64 1 (exp.f64 z)) y)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (*.f64 (-.f64 1 (exp.f64 z)) (neg.f64 y)) (/.f64 -1 t)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t) (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y))) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 1)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) 1)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) y)) (/.f64 1 (sqrt.f64 t))) |
(/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) (/.f64 y (sqrt.f64 t)))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 t)) (sqrt.f64 t)) (-.f64 1 (exp.f64 z))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) y)) (/.f64 1 (sqrt.f64 t))) |
(/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) (/.f64 y (sqrt.f64 t)))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 t)) (sqrt.f64 t)) (-.f64 1 (exp.f64 z))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 t t))) (/.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) (cbrt.f64 t))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (cbrt.f64 t) y))) (cbrt.f64 (*.f64 t t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (/.f64 y 1)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) y)) (/.f64 1 (sqrt.f64 t))) |
(/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) (/.f64 y (sqrt.f64 t)))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 t)) (sqrt.f64 t)) (-.f64 1 (exp.f64 z))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 t)) (/.f64 y (cbrt.f64 (*.f64 t t)))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (cbrt.f64 t) y))) (cbrt.f64 (*.f64 t t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 z)) y) (cbrt.f64 t)) (/.f64 1 (cbrt.f64 (*.f64 t t)))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (cbrt.f64 t) y))) (cbrt.f64 (*.f64 t t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 y t) (-.f64 1 (exp.f64 z))) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 -1 t) (*.f64 (-.f64 1 (exp.f64 z)) (neg.f64 y))) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (-.f64 1 (exp.f64 z)) (sqrt.f64 t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) y)) (/.f64 1 (sqrt.f64 t))) |
(/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) (/.f64 y (sqrt.f64 t)))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 t)) (sqrt.f64 t)) (-.f64 1 (exp.f64 z))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (cbrt.f64 t) y))) (cbrt.f64 (*.f64 t t))) |
(*.f64 (/.f64 y (cbrt.f64 t)) (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 (*.f64 t t)))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (cbrt.f64 t) y))) (cbrt.f64 (*.f64 t t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 y 1) (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 y (cbrt.f64 (*.f64 t t))) (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 t))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (cbrt.f64 t) y))) (cbrt.f64 (*.f64 t t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (cbrt.f64 (*.f64 t t))) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (cbrt.f64 t))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (cbrt.f64 t) y))) (cbrt.f64 (*.f64 t t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (cbrt.f64 t)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (cbrt.f64 (*.f64 t t)))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (cbrt.f64 t) y))) (cbrt.f64 (*.f64 t t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 (*.f64 t t))) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) t)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) y)) (/.f64 1 (sqrt.f64 t))) |
(/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) (/.f64 y (sqrt.f64 t)))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 t)) (sqrt.f64 t)) (-.f64 1 (exp.f64 z))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (sqrt.f64 t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) y)) (/.f64 1 (sqrt.f64 t))) |
(/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (sqrt.f64 t) (/.f64 y (sqrt.f64 t)))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 t)) (sqrt.f64 t)) (-.f64 1 (exp.f64 z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) y)) 2) (cbrt.f64 (*.f64 t t))) (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (exp.f64 z)))) 2)) (cbrt.f64 (*.f64 t t))) |
(/.f64 (cbrt.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))) (/.f64 (cbrt.f64 (*.f64 t t)) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (exp.f64 z)))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) (cbrt.f64 (*.f64 t t))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (exp.f64 z)))) 2)) |
(pow.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) 1) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) 2) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) 3) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) 3) 1/3) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(pow.f64 (/.f64 t (*.f64 (-.f64 1 (exp.f64 z)) y)) -1) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(neg.f64 (/.f64 (-.f64 1 (exp.f64 z)) (/.f64 (neg.f64 t) y))) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) 2)) |
(fabs.f64 (*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t))) |
(fabs.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))) |
(log.f64 (exp.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t))))) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) 3)) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(exp.f64 (log.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)))) |
(*.f64 y (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
| ✓ | 0.2b | (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) |
| ✓ | 0.2b | (/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
| ✓ | 3.4b | (*.f64 (expm1.f64 z) (/.f64 y t)) |
Compiled 50 to 15 computations (70% saved)
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
| 1.0ms | z | @ | 0 | (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) |
| 1.0ms | y | @ | 0 | (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) |
| 1.0ms | y | @ | inf | (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) |
| 1.0ms | x | @ | 0 | (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) |
| 1× | batch-egg-rewrite |
| 1630× | associate-/r* |
| 1034× | associate-/l* |
| 678× | distribute-rgt-in |
| 632× | distribute-lft-in |
| 520× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 92 |
| 1 | 300 | 92 |
| 2 | 3788 | 92 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1288× | associate-*r* |
| 1052× | associate-*l* |
| 930× | *-commutative |
| 926× | associate-/r* |
| 736× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1067 | 38754 |
| 1 | 3030 | 37944 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y z) t) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))) |
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
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(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) |
(log.f64 (exp.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))) |
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(exp.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) -1)) |
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(fma.f64 1 x (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) |
| Outputs |
|---|
(/.f64 (*.f64 y z) t) |
(/.f64 y (/.f64 t z)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))) |
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))) |
(+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 1/2 y) (/.f64 (/.f64 t z) z))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))) |
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) |
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 1/2 y) (/.f64 (/.f64 t z) z)))) |
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))) |
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))) |
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 1/2 y) (/.f64 (/.f64 t z) z))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t)) |
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x)) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 (*.f64 y (*.f64 z z)) t) x)) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x))) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 (*.f64 y (*.f64 z z)) t) (fma.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) x))) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 (/.f64 t z) z)) (fma.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) x))) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
x |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x) |
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t)) |
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t)) |
(*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(*.f64 -1 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(/.f64 (neg.f64 t) (*.f64 y (expm1.f64 z))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 t 2) x) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))) (*.f64 -1 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(*.f64 -1 (+.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 (expm1.f64 z) 2)) (/.f64 x (*.f64 y y))) (/.f64 t (*.f64 y (expm1.f64 z))))) |
(*.f64 -1 (+.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 t t) (pow.f64 (expm1.f64 z) 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 t 2) x) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 t 3) (pow.f64 x 2)) (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))) |
(fma.f64 -1 (*.f64 (/.f64 (*.f64 t t) (pow.f64 (expm1.f64 z) 2)) (/.f64 x (*.f64 y y))) (*.f64 -1 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 (/.f64 (pow.f64 t 3) (pow.f64 (expm1.f64 z) 3)) (/.f64 (*.f64 x x) (pow.f64 y 3)))))) |
(fma.f64 -1 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 t t) (pow.f64 (expm1.f64 z) 2))) (*.f64 -1 (+.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) (*.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 (pow.f64 t 3) (pow.f64 (expm1.f64 z) 3)))))) |
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(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(pow.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3) 1/3) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) 2)) |
(log.f64 (exp.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3)) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(exp.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) -1)) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(fma.f64 1 x (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) |
(-.f64 x (*.f64 (/.f64 y t) (expm1.f64 z))) |
(fma.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (expm1.f64 z) (neg.f64 (/.f64 y t)))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (expm1.f64 z) (/.f64 (neg.f64 y) t))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (/.f64 y t) (neg.f64 (expm1.f64 z)))) |
Compiled 52299 to 20888 computations (60.1% saved)
35 alts after pruning (27 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1800 | 13 | 1813 |
| Fresh | 10 | 14 | 24 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 8 | 10 |
| Total | 1813 | 35 | 1848 |
| Status | Error | Program |
|---|---|---|
| 35.5b | (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 z y)) -2)) (+.f64 (*.f64 (/.f64 z t) y) x)) | |
| 54.7b | (/.f64 (*.f64 z (neg.f64 y)) t) | |
| 55.0b | (/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z)) t) | |
| 55.0b | (/.f64 (*.f64 y (*.f64 z (+.f64 -1 (*.f64 -1/2 z)))) t) | |
| 50.2b | (/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t) | |
| ✓ | 44.6b | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 44.7b | (/.f64 (neg.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t) | |
| 51.3b | (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) | |
| 50.7b | (/.f64 (neg.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t) | |
| 54.6b | (/.f64 (neg.f64 y) (/.f64 t z)) | |
| 8.5b | (/.f64 1 (/.f64 1 (-.f64 x (/.f64 (/.f64 (expm1.f64 z) t) (/.f64 1 y))))) | |
| 17.0b | (/.f64 1 (/.f64 1 (-.f64 x (/.f64 (*.f64 y z) t)))) | |
| 19.0b | (/.f64 1 (/.f64 1 x)) | |
| 27.4b | (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (*.f64 t (*.f64 x x))))) | |
| 44.7b | (/.f64 -1 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) | |
| 57.0b | (/.f64 -1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))) | |
| 56.1b | (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (/.f64 y (/.f64 t z))) | |
| 28.9b | (-.f64 x (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) -2)) | |
| ✓ | 16.9b | (-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t)) |
| ✓ | 8.5b | (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
| 16.9b | (-.f64 x (/.f64 (*.f64 z y) t)) | |
| ✓ | 0.3b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 16.8b | (-.f64 x (/.f64 z (/.f64 t y))) | |
| 30.0b | (-.f64 x (/.f64 2 t)) | |
| 24.6b | (-.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 y (*.f64 y y))) (/.f64 (/.f64 t y) z)))) | |
| ✓ | 16.9b | (-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
| 13.1b | (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) | |
| 12.2b | (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))) | |
| 13.8b | (-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y)))) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) | |
| 17.1b | (-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t))) | |
| 17.5b | (-.f64 x (*.f64 (/.f64 1 (/.f64 t y)) z)) | |
| ✓ | 10.9b | (-.f64 x (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
| ✓ | 54.6b | (*.f64 (/.f64 z t) (neg.f64 y)) |
| ✓ | 44.7b | (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
| 18.9b | x |
Compiled 518 to 364 computations (29.7% saved)
| Inputs |
|---|
x |
(-.f64 x (/.f64 2 t)) |
(/.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(/.f64 (neg.f64 y) (/.f64 t z)) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(/.f64 (*.f64 z (neg.f64 y)) t) |
(-.f64 x (*.f64 y (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(-.f64 x (*.f64 (/.f64 1 (/.f64 t y)) z)) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t)) |
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y))) |
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t))) |
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (*.f64 y z) t)))) |
(/.f64 (*.f64 y (*.f64 z (+.f64 -1 (*.f64 -1/2 z)))) t) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))) |
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (*.f64 t (*.f64 x x))))) |
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z)) t) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y)))) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t) |
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(-.f64 x (*.f64 y (*.f64 z (pow.f64 t -1)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t) |
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (*.f64 (/.f64 (*.f64 y (pow.f64 t -1)) 1) z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 1 (expm1.f64 z))) y)) t) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(-.f64 x (-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 y t))) |
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
(/.f64 -1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))) |
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (/.f64 (expm1.f64 z) t) (/.f64 1 y))))) |
(-.f64 x (/.f64 (fma.f64 (*.f64 1/2 (*.f64 z z)) (-.f64 y (*.f64 y y)) (*.f64 z y)) t)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 z y)) -2)) (+.f64 (*.f64 (/.f64 z t) y) x)) |
(+.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (+.f64 x (fma.f64 (/.f64 (neg.f64 y) t) z (*.f64 y (/.f64 z t))))) |
(-.f64 x (*.f64 (/.f64 1 t) (fma.f64 (*.f64 1/2 (*.f64 z z)) (-.f64 y (*.f64 y y)) (*.f64 z y)))) |
(-.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 y (*.f64 y y))) (/.f64 (/.f64 t y) z)))) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(/.f64 -1 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y (/.f64 z t)))) 2) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y t) z))) 2) |
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) |
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) |
(/.f64 (neg.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t) |
(/.f64 (neg.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t) |
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) |
(-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) |
(-.f64 x (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
(-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t)) |
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) -2)) |
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) |
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) |
(-.f64 x (*.f64 (/.f64 1 t) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3))) |
(-.f64 x (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
9 calls:
| 32.0ms | x |
| 32.0ms | t |
| 32.0ms | y |
| 31.0ms | z |
| 28.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | y |
| 0.3b | 1 | z |
| 0.3b | 1 | t |
| 0.3b | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
| 0.3b | 1 | (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t) |
| 0.3b | 1 | (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) |
| 0.3b | 1 | (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))) |
| 0.3b | 1 | (exp.f64 z) |
Compiled 897 to 406 computations (54.7% saved)
| Inputs |
|---|
x |
(-.f64 x (/.f64 2 t)) |
(/.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(/.f64 (neg.f64 y) (/.f64 t z)) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(/.f64 (*.f64 z (neg.f64 y)) t) |
(-.f64 x (*.f64 y (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(-.f64 x (*.f64 (/.f64 1 (/.f64 t y)) z)) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t)) |
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y))) |
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t))) |
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (*.f64 y z) t)))) |
(/.f64 (*.f64 y (*.f64 z (+.f64 -1 (*.f64 -1/2 z)))) t) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))) |
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (*.f64 t (*.f64 x x))))) |
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z)) t) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y)))) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t) |
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(-.f64 x (*.f64 y (*.f64 z (pow.f64 t -1)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t) |
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (*.f64 (/.f64 (*.f64 y (pow.f64 t -1)) 1) z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 1 (expm1.f64 z))) y)) t) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(-.f64 x (-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 y t))) |
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
(/.f64 -1 (+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t))) |
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (/.f64 (expm1.f64 z) t) (/.f64 1 y))))) |
(-.f64 x (/.f64 (fma.f64 (*.f64 1/2 (*.f64 z z)) (-.f64 y (*.f64 y y)) (*.f64 z y)) t)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 z y)) -2)) (+.f64 (*.f64 (/.f64 z t) y) x)) |
(+.f64 (*.f64 (/.f64 y t) (neg.f64 z)) (+.f64 x (fma.f64 (/.f64 (neg.f64 y) t) z (*.f64 y (/.f64 z t))))) |
(-.f64 x (*.f64 (/.f64 1 t) (fma.f64 (*.f64 1/2 (*.f64 z z)) (-.f64 y (*.f64 y y)) (*.f64 z y)))) |
(-.f64 x (/.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 t (*.f64 y y)) (-.f64 y (*.f64 y y))) (/.f64 (/.f64 t y) z)))) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| Outputs |
|---|
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
5 calls:
| 27.0ms | t |
| 23.0ms | x |
| 23.0ms | z |
| 23.0ms | y |
| 5.0ms | (exp.f64 z) |
| Error | Segments | Branch |
|---|---|---|
| 5.7b | 1 | x |
| 5.7b | 1 | y |
| 5.7b | 1 | z |
| 5.7b | 1 | t |
| 5.7b | 1 | (exp.f64 z) |
Compiled 595 to 275 computations (53.8% saved)
| Inputs |
|---|
x |
(-.f64 x (/.f64 2 t)) |
(/.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(/.f64 (neg.f64 y) (/.f64 t z)) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(/.f64 (*.f64 z (neg.f64 y)) t) |
(-.f64 x (*.f64 y (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(-.f64 x (*.f64 (/.f64 1 (/.f64 t y)) z)) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t)) |
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y))) |
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t))) |
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (*.f64 y z) t)))) |
(/.f64 (*.f64 y (*.f64 z (+.f64 -1 (*.f64 -1/2 z)))) t) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))) |
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (*.f64 t (*.f64 x x))))) |
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z)) t) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y)))) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t) |
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(-.f64 x (*.f64 y (*.f64 z (pow.f64 t -1)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 z) 1) y)) t) |
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (*.f64 (/.f64 (*.f64 y (pow.f64 t -1)) 1) z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 1 (expm1.f64 z))) y)) t) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(-.f64 x (-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 y t))) |
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
| Outputs |
|---|
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
5 calls:
| 38.0ms | z |
| 36.0ms | y |
| 22.0ms | x |
| 20.0ms | t |
| 6.0ms | (exp.f64 z) |
| Error | Segments | Branch |
|---|---|---|
| 8.5b | 1 | x |
| 6.5b | 2 | y |
| 7.3b | 2 | z |
| 8.5b | 1 | t |
| 7.3b | 2 | (exp.f64 z) |
Compiled 446 to 217 computations (51.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -9.48154356785335e+21 | -2.3918852218186687e+21 |
| 8.0ms | 59× | body | 256 | valid |
| 5.0ms | 17× | body | 512 | valid |
| 3.0ms | 4× | body | 1024 | valid |
| 0.0ms | 3× | body | 256 | invalid |
Compiled 199 to 138 computations (30.7% saved)
| Inputs |
|---|
x |
(-.f64 x (/.f64 2 t)) |
(/.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(/.f64 (neg.f64 y) (/.f64 t z)) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(/.f64 (*.f64 z (neg.f64 y)) t) |
(-.f64 x (*.f64 y (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(-.f64 x (*.f64 (/.f64 1 (/.f64 t y)) z)) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t)) |
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y))) |
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t))) |
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (*.f64 y z) t)))) |
(/.f64 (*.f64 y (*.f64 z (+.f64 -1 (*.f64 -1/2 z)))) t) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))) |
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (*.f64 t (*.f64 x x))))) |
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z)) t) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y)))) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t) |
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) |
| Outputs |
|---|
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))) |
4 calls:
| 79.0ms | t |
| 47.0ms | z |
| 41.0ms | y |
| 29.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 8.8b | 2 | x |
| 5.6b | 3 | y |
| 7.3b | 2 | z |
| 8.7b | 3 | t |
Compiled 328 to 157 computations (52.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 1.3665570760253707e-36 | 1.4413012074600824e-31 |
| 19.0ms | -9.48154356785335e+21 | -2.3918852218186687e+21 |
| 28.0ms | 175× | body | 256 | valid |
| 14.0ms | 25× | body | 1024 | valid |
| 7.0ms | 24× | body | 512 | valid |
| 0.0ms | 2× | body | 256 | invalid |
Compiled 478 to 336 computations (29.7% saved)
| Inputs |
|---|
x |
(-.f64 x (/.f64 2 t)) |
(/.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(/.f64 (neg.f64 y) (/.f64 t z)) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(/.f64 (*.f64 z (neg.f64 y)) t) |
(-.f64 x (*.f64 y (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(-.f64 x (*.f64 (/.f64 1 (/.f64 t y)) z)) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t)) |
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y))) |
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t))) |
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (*.f64 y z) t)))) |
(/.f64 (*.f64 y (*.f64 z (+.f64 -1 (*.f64 -1/2 z)))) t) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))) |
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (*.f64 t (*.f64 x x))))) |
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z)) t) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 z (*.f64 1/12 (/.f64 t y)))) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) |
(/.f64 (neg.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) t) |
| Outputs |
|---|
(-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))) |
4 calls:
| 49.0ms | z |
| 41.0ms | x |
| 38.0ms | t |
| 26.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 10.6b | 3 | x |
| 11.1b | 2 | y |
| 9.9b | 2 | z |
| 10.9b | 2 | t |
Compiled 320 to 155 computations (51.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 94.0ms | 8.397459106742727e-258 | 5.244232128824038e-246 |
| 44.0ms | 14× | body | 2048 | valid |
| 28.0ms | 58× | body | 1024 | valid |
| 12.0ms | 75× | body | 256 | valid |
| 4.0ms | 7× | body | 1024 | invalid |
| 4.0ms | 13× | body | 512 | valid |
Compiled 424 to 298 computations (29.7% saved)
| Inputs |
|---|
x |
(-.f64 x (/.f64 2 t)) |
(/.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(/.f64 (neg.f64 y) (/.f64 t z)) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(/.f64 (*.f64 z (neg.f64 y)) t) |
(-.f64 x (*.f64 y (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(-.f64 x (*.f64 (/.f64 1 (/.f64 t y)) z)) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t)) |
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y))) |
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t))) |
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (*.f64 y z) t)))) |
(/.f64 (*.f64 y (*.f64 z (+.f64 -1 (*.f64 -1/2 z)))) t) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))) |
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (*.f64 t (*.f64 x x))))) |
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z)) t) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 y (/.f64 t (*.f64 z z)))))) |
| Outputs |
|---|
x |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))) |
4 calls:
| 45.0ms | x |
| 39.0ms | z |
| 13.0ms | t |
| 11.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 12.2b | 1 | x |
| 12.2b | 1 | y |
| 11.0b | 2 | z |
| 12.2b | 1 | t |
Compiled 238 to 121 computations (49.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 80.0ms | -5.809866674565511e+80 | -4.977704699891792e+77 |
| 51.0ms | 12× | body | 256 | invalid |
| 15.0ms | 101× | body | 256 | valid |
| 9.0ms | 16× | body | 1024 | valid |
| 3.0ms | 11× | body | 512 | valid |
Compiled 216 to 162 computations (25% saved)
| Inputs |
|---|
x |
(-.f64 x (/.f64 2 t)) |
(/.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(/.f64 (neg.f64 y) (/.f64 t z)) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(/.f64 (*.f64 z (neg.f64 y)) t) |
(-.f64 x (*.f64 y (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(-.f64 x (*.f64 (/.f64 1 (/.f64 t y)) z)) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (/.f64 (/.f64 y (/.f64 1 z)) t)) |
(-.f64 x (/.f64 (/.f64 z t) (/.f64 1 y))) |
(-.f64 x (/.f64 1 (*.f64 (/.f64 1 (*.f64 z y)) t))) |
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (*.f64 y z) t)))) |
(/.f64 (*.f64 y (*.f64 z (+.f64 -1 (*.f64 -1/2 z)))) t) |
| Outputs |
|---|
x |
(-.f64 x (*.f64 y (/.f64 z t))) |
4 calls:
| 71.0ms | x |
| 61.0ms | z |
| 57.0ms | y |
| 30.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 13.9b | 3 | x |
| 14.7b | 2 | y |
| 11.9b | 2 | z |
| 13.1b | 3 | t |
Compiled 178 to 92 computations (48.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | -1.8160270304337168e-13 | -5.580879151147219e-15 |
| 14.0ms | 83× | body | 256 | valid |
| 7.0ms | 12× | body | 1024 | valid |
| 5.0ms | 15× | body | 512 | valid |
| 3.0ms | 25× | body | 256 | invalid |
| 2.0ms | 2× | body | 2048 | valid |
Compiled 150 to 109 computations (27.3% saved)
| Inputs |
|---|
x |
(-.f64 x (/.f64 2 t)) |
(/.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
(*.f64 (/.f64 z t) (neg.f64 y)) |
(/.f64 (neg.f64 y) (/.f64 t z)) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(/.f64 (*.f64 z (neg.f64 y)) t) |
| Outputs |
|---|
x |
(*.f64 (/.f64 z t) (neg.f64 y)) |
x |
(*.f64 (/.f64 z t) (neg.f64 y)) |
x |
4 calls:
| 24.0ms | x |
| 20.0ms | z |
| 14.0ms | y |
| 5.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 16.2b | 5 | x |
| 17.6b | 3 | y |
| 18.9b | 1 | z |
| 18.9b | 1 | t |
Compiled 65 to 40 computations (38.5% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 1.5387497611274213e-149 | 1.5401436447265507e-148 |
| 67.0ms | -3.0428436424224805e-244 | -1.0903597442928138e-253 |
| 129.0ms | -3.575149211273864e-219 | -1.9462954401343342e-227 |
| 37.0ms | -4.136138072015184e-195 | -1.0966374514600945e-195 |
| 142.0ms | 205× | body | 1024 | valid |
| 80.0ms | 37× | body | 2048 | valid |
| 26.0ms | 151× | body | 256 | valid |
| 22.0ms | 71× | body | 512 | valid |
Compiled 517 to 395 computations (23.6% saved)
| Inputs |
|---|
x |
(-.f64 x (/.f64 2 t)) |
(/.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 y t) (neg.f64 z)) |
| Outputs |
|---|
x |
(*.f64 (/.f64 y t) (neg.f64 z)) |
x |
(*.f64 (/.f64 y t) (neg.f64 z)) |
x |
4 calls:
| 19.0ms | y |
| 18.0ms | x |
| 4.0ms | t |
| 4.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 16.5b | 5 | x |
| 17.6b | 3 | y |
| 18.9b | 1 | z |
| 18.9b | 1 | t |
Compiled 41 to 30 computations (26.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 5.006440578653711e-289 | 5.4810039955984315e-288 |
| 98.0ms | -3.0428436424224805e-244 | -1.0903597442928138e-253 |
| 67.0ms | -3.575149211273864e-219 | -1.9462954401343342e-227 |
| 35.0ms | -4.136138072015184e-195 | -1.0966374514600945e-195 |
| 137.0ms | 182× | body | 1024 | valid |
| 49.0ms | 49× | body | 2048 | valid |
| 30.0ms | 78× | body | 512 | valid |
| 25.0ms | 155× | body | 256 | valid |
Compiled 517 to 395 computations (23.6% saved)
Total -12.1b remaining (-64.1%)
Threshold costs -12.1b (-64.1%)
| Inputs |
|---|
x |
(-.f64 x (/.f64 2 t)) |
(/.f64 1 (/.f64 1 x)) |
| Outputs |
|---|
x |
4 calls:
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | t |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 18.9b | 1 | x |
| 18.9b | 1 | y |
| 18.9b | 1 | z |
| 18.9b | 1 | t |
Compiled 35 to 27 computations (22.9% saved)
| 1× | egg-herbie |
| 56× | +-commutative |
| 52× | *-commutative |
| 42× | sub-neg |
| 34× | neg-mul-1 |
| 34× | neg-sub0 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 594 |
| 1 | 129 | 586 |
| 2 | 183 | 586 |
| 3 | 234 | 578 |
| 4 | 263 | 578 |
| 5 | 277 | 578 |
| 6 | 279 | 578 |
| 7 | 281 | 578 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
(if (<=.f64 y -2500000000000000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))) |
(if (<=.f64 y -2500000000000000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (if (<=.f64 y 3242706757827941/22835963083295358096932575511191922182123945984) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))))) |
(if (<=.f64 z 2299137799502415/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))) |
(if (<=.f64 z -1450000000000000084306575461652833659695763127552287486042442820388174535065600) x (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))) |
(if (<=.f64 z -3565267313141895/19807040628566084398385987584) x (-.f64 x (*.f64 y (/.f64 z t)))) |
(if (<=.f64 x -5786149491703211/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) x (if (<=.f64 x -5341655849093511/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (*.f64 (/.f64 z t) (neg.f64 y)) (if (<=.f64 x -1196574698874669/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) x (if (<=.f64 x 7140675974698961/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (*.f64 (/.f64 z t) (neg.f64 y)) x)))) |
(if (<=.f64 x -5786149491703211/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) x (if (<=.f64 x -5850384977578607/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (*.f64 (/.f64 y t) (neg.f64 z)) (if (<=.f64 x -1934672355233149/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) x (if (<=.f64 x 7131961289431795/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256) (*.f64 (/.f64 y t) (neg.f64 z)) x)))) |
x |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t 1/2)))) |
(+.f64 x (/.f64 -1 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t 1/2)))) |
(if (<=.f64 y -2500000000000000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))) |
(if (<=.f64 y -2500000000000000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))) |
(if (<=.f64 y -2500000000000000000000) (+.f64 x (/.f64 -1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))) |
(if (<=.f64 y -2500000000000000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (if (<=.f64 y 3242706757827941/22835963083295358096932575511191922182123945984) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2)))))) |
(if (<=.f64 y -2500000000000000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (if (<=.f64 y 3242706757827941/22835963083295358096932575511191922182123945984) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))))) |
(if (<=.f64 y -2500000000000000000000) (+.f64 x (/.f64 -1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (if (<=.f64 y 3242706757827941/22835963083295358096932575511191922182123945984) (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z))))))) |
(if (<=.f64 z 2299137799502415/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))) |
(if (<=.f64 z 2299137799502415/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (-.f64 x (/.f64 1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z)))))) |
(if (<=.f64 z 2299137799502415/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032) (+.f64 x (/.f64 -1 (+.f64 (/.f64 (/.f64 t z) y) (*.f64 1/2 (-.f64 t (/.f64 t y)))))) (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z)))))) |
(if (<=.f64 z -1450000000000000084306575461652833659695763127552287486042442820388174535065600) x (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 z y)) (*.f64 t 1/2))))) |
(if (<=.f64 z -1450000000000000084306575461652833659695763127552287486042442820388174535065600) x (-.f64 x (/.f64 1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z)))))) |
(if (<=.f64 z -1450000000000000084306575461652833659695763127552287486042442820388174535065600) x (+.f64 x (/.f64 -1 (+.f64 (*.f64 t 1/2) (/.f64 t (*.f64 y z)))))) |
(if (<=.f64 z -3565267313141895/19807040628566084398385987584) x (-.f64 x (*.f64 y (/.f64 z t)))) |
(if (<=.f64 x -5786149491703211/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) x (if (<=.f64 x -5341655849093511/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (*.f64 (/.f64 z t) (neg.f64 y)) (if (<=.f64 x -1196574698874669/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) x (if (<=.f64 x 7140675974698961/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (*.f64 (/.f64 z t) (neg.f64 y)) x)))) |
(if (<=.f64 x -5786149491703211/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) x (if (or (<=.f64 x -5341655849093511/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (not (or (<=.f64 x -1196574698874669/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (not (<=.f64 x 7140675974698961/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328))))) (*.f64 y (neg.f64 (/.f64 z t))) x)) |
(if (<=.f64 x -5786149491703211/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) x (if (or (<=.f64 x -5341655849093511/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (not (or (<=.f64 x -1196574698874669/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (not (<=.f64 x 7140675974698961/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328))))) (*.f64 y (/.f64 (neg.f64 z) t)) x)) |
(if (<=.f64 x -5786149491703211/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) x (if (or (<=.f64 x -5341655849093511/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (and (not (<=.f64 x -1196574698874669/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696)) (<=.f64 x 7140675974698961/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328))) (*.f64 y (/.f64 (neg.f64 z) t)) x)) |
(if (<=.f64 x -5786149491703211/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) x (if (<=.f64 x -5850384977578607/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (*.f64 (/.f64 y t) (neg.f64 z)) (if (<=.f64 x -1934672355233149/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) x (if (<=.f64 x 7131961289431795/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256) (*.f64 (/.f64 y t) (neg.f64 z)) x)))) |
(if (<=.f64 x -5786149491703211/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) x (if (or (<=.f64 x -5850384977578607/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (not (or (<=.f64 x -1934672355233149/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (not (<=.f64 x 7131961289431795/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256))))) (*.f64 (/.f64 y t) (neg.f64 z)) x)) |
(if (<=.f64 x -5786149491703211/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) x (if (or (<=.f64 x -5850384977578607/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (not (or (<=.f64 x -1934672355233149/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (not (<=.f64 x 7131961289431795/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256))))) (*.f64 z (neg.f64 (/.f64 y t))) x)) |
(if (<=.f64 x -5786149491703211/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376) x (if (or (<=.f64 x -5850384977578607/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (and (not (<=.f64 x -1934672355233149/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352)) (<=.f64 x 7131961289431795/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256))) (*.f64 z (neg.f64 (/.f64 y t))) x)) |
x |
Compiled 253 to 168 computations (33.6% saved)
| 1× | egg-herbie |
| 924× | fma-def |
| 920× | *-commutative |
| 798× | associate--r+ |
| 782× | associate-/l* |
| 728× | associate-+l- |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 39 |
| 1 | 25 | 35 |
| 2 | 51 | 33 |
| 3 | 98 | 33 |
| 4 | 205 | 27 |
| 5 | 506 | 27 |
| 6 | 1005 | 27 |
| 7 | 1240 | 27 |
| 8 | 1353 | 27 |
| 9 | 1632 | 27 |
| 10 | 2449 | 27 |
| 11 | 4905 | 27 |
| 12 | 5557 | 27 |
| 13 | 6096 | 27 |
| 14 | 6879 | 27 |
| 15 | 7662 | 27 |
| 1× | node limit |
Compiled 92 to 52 computations (43.5% saved)
Compiled 217 to 115 computations (47% saved)
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